Nasab

Ikfi

Mubarokah

Mulia

Rahmayani

Tugas

Nilai

Soal

persamaan menggunakan

1.

y"

+

y y1

cara

biasa y

+ 0

: =

16 ,

Batas

orde-kedua

16 y

=

Syarat

diferensial

Dengan

(

(106017000533)

Awal

a)

y

(106017000522)

) y

0 =

=

0 -16 =

C1010009000003de04000000005203000000005203000026060f009a06574d46430100000000000100c75100000000010000007806000000000000780600 00010000006c0000000000000000000000140000001400000000000000000000000c0200000c02000020454d4600000100780600000c0000000100000000 0000000000000000000000000500002003000040010000c800000000000000000000000000000000e20400400d0300460000002c00000020000000454d46 2b014001001c000000100000000210c0db010000006000000060000000460000003002000024020000454d462b224004000c000000000000001e4009000c 00000000000000244001000c000000000000003040020010000000040000000000803f214007000c00000000000000084000057c010000700100000210c0 db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d4948445200000015000000150802000000267532c100000001 7352474200aece1ce9000000097048597300000ec400000ec401952b0e1b000000f749444154384fe553b10d8330107cd8c14d3640a448cb00440c92094cc3 08542c609441600d10350d853d84f1bf310a91b02ca154b9e6ede7effede2f22ad355c407c818b542f7f6c2342d9abb3361efed8de6130e3e92179d6670ae77 cb54c224bb16f9a896696782243ed08aa2f29fafccbb9f932adfa25931d9fde650d95d62f14f7ce3f2d87b9599ea7ec51001455ce9c360e8830c22ec53b49630 bb0277310f410582538c7dbd0d922a0b4a9d86a496713d8252ddb1561dc05918f09d7e0f0d179f344c327ca0e2714c0c59218cc9e9c614cd0ab862306764b 605bafdd30ed3518c7a7ff74123441843bb8809ffe7f01befebdff0a41d93890a5f82a450000000049454e44ae4260820000084001082400000018000000021 0c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf0000a8410000a8410300000 0000080b3000080b3ffffa741000080b3000080b3ffffa7412100000008000000620000000c00000001000000150000000c00000004000000150000000c000 0000400000051000000e402000000000000000000001400000014000000000000000000000000000000000000001500000015000000500000009c000000e c000000f8010000000000002000cc00150000001500000028000000150000001500000001000800000000000000000000000000000000001d00000000000 00000000000ffffff009bd4ff00eaba7200d4ffff009b009b00ffffd40072009b00ffeaba00baeaff00d49b7200009bd400ffd49b009b000000eaffd4000072ba0 0d49b0000ead4ba007272ba0072727200ba720000ffffea0072baea00eaffff0072729b00bad4ff0000009b0072007200d4ffea000101010101010101010101 0101010101010101010100000001010101010101010101010101010101010101010100000001010101010101010101010101010101010101010100000001

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y2

=

C2010009000003f20500000000e40300000000e403000026060f00be07574d46430100000000000100f86500000000010000009c070000000000009c07000 0010000006c0000000000000000000000220000001400000000000000000000006a0300000c02000020454d46000001009c0700000c00000001000000000 000000000000000000000000500002003000040010000c800000000000000000000000000000000e20400400d0300460000002c00000020000000454d462 b014001001c000000100000000210c0db010000006000000060000000460000005002000044020000454d462b224004000c000000000000001e4009000c0 0000000000000244001000c000000000000003040020010000000040000000000803f214007000c00000000000000084000059c010000900100000210c0d

b01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d49484452000000230000001508020000004398c0be000000017 352474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000011949444154484bed94bb1183300c86e5ec002d0bb0068be48e059c2623a4 210bc031470ed680a34e43014338f20b6c2e9044dc51451558967ee9936d26848043ec74888a14a12ab505bbd4a35be6585f185b2e3a1b084a2a65d97157 0685c3e719279125c11a25f4526ca838af0613d9e430ff08813ea99637021d605deb3d691abe2d8099eac71e1b7c847a6bd1429064464cc9d936290d618cd b93d392b32cc5506732d31372b68645fd6861c4efcfc10b422037b80e51e950404d49d37296df6e25ef5a56f48de9bd132c9547ffd931d9d4a085e6e4df489 1889f00e70990c6165e9c0274bd77537e84b9b2ddccc907b6712976a81ac8dee5f83428123d9c933913fe8c49c93683d8ff2ddf7120086f3951edaf4404a7c2 5e53256b79f4da085f0000000049454e44ae4260820840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040 000000340000000100000002000000000000bf000000bf00000c420000a84103000000000080b3000080b3ffff0b42000080b3000080b3ffffa74121000000 08000000620000000c00000001000000150000000c00000004000000150000000c0000000400000051000000e80300000000000000000000220000001400 000000000000000000000000000000000000230000001500000050000000a4000000f4000000f4020000000000002000cc002300000015000000280000002 30000001500000001000800000000000000000000000000000000001f0000000000000000000000ffffff009bd4ff00ba720000ffffea00baeaff0000007200ea ffff000072ba0072720000ba7272009b000000ffffd400d4ffff0072009b00ffeaba00ffd49b00009bd40072000000eaba7200727272009b9bd40072baea009b 0072007272ba00eaeaba00d49b0000eaffea00d4ffd40000009b009b009b00010101010101010101010101010101010101010101010101010101010101010 1010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff01010101010101010101010101010101010101010101 01010101010101010101010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff0101010101010101010101010 101010101010101010101010101010101010101010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff010101 0101010101010101010101010101010101010101010101010101010101010101ff010d1d00000b0c01010101010101010101010101010101010101010101 010101010101ff07080304010d1e0c010101010101010101010101010101010101010101010101010101ff050610010101010101010101010101010101010 1010101010101010101010101010101ff050600000000120f010101010101010101010101010101010101010101010101010101ff0d1d100101020b0c0101 01010101010101010101010101010101010101010101010101ff0111030401111a01010101010101010101110000001001160000031b080b1c1d120f01ff01 011100000b0c0101010101010101010101050a040105170c011613071819180f0101ff010101010101010101010101010101010101050a040102030401161 301070810010101ff010101010101010105060000000000130101050a0401051406000b0c070810150c0101ff010101010101010101010101010101010101 050a04010d0e0f01010708001011120f01ff010101010101010101010101010101010708090a040101020b0c010101010101010101ff010101010101010101 0101010101010101010203040101010506030401010101010101ff0101010101010101010101010101010101010101010101010101010101010101010101f f0101010101010101010101010101010101010101010101010101010101010101010101ff4c00000064000000000000000000000022000000140000000000 00000000000023000000150000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000 000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000

010000000140000000400000003010800050000000b0200000000050000000c0215002300030000001e0004000000070104000400000007010400d901000 0410b2000cc001500230000000000150023000000000028000000230000001500000001000800000000000000000000000000000000001f0000000000000 000000000ffffff009bd4ff00ba720000ffffea00baeaff0000007200eaffff000072ba0072720000ba7272009b000000ffffd400d4ffff0072009b00ffeaba00ffd4 9b00009bd40072000000eaba7200727272009b9bd40072baea009b0072007272ba00eaeaba00d49b0000eaffea00d4ffd40000009b009b009b0001010101 01010101010101010101010101010101010101010101010101010101010101ff010101010101010101010101010101010101010101010101010101010101 0101010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff01010101010101010101010101010101010101010 10101010101010101010101010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff0101010101010101010101 010101010101010101010101010101010101010101010101ff0101010101010101010101010101010101010101010101010101010101010101010101ff010 d1d00000b0c01010101010101010101010101010101010101010101010101010101ff07080304010d1e0c010101010101010101010101010101010101010 101010101010101ff0506100101010101010101010101010101010101010101010101010101010101010101ff050600000000120f01010101010101010101 0101010101010101010101010101010101ff0d1d100101020b0c010101010101010101010101010101010101010101010101010101ff0111030401111a010 10101010101010101110000001001160000031b080b1c1d120f01ff01011100000b0c0101010101010101010101050a040105170c011613071819180f0101f f010101010101010101010101010101010101050a040102030401161301070810010101ff010101010101010105060000000000130101050a040105140600 0b0c070810150c0101ff010101010101010101010101010101010101050a04010d0e0f01010708001011120f01ff0101010101010101010101010101010107 08090a040101020b0c010101010101010101ff0101010101010101010101010101010101010203040101010506030401010101010101ff010101010101010 1010101010101010101010101010101010101010101010101010101ff0101010101010101010101010101010101010101010101010101010101010101010 101ff0c00000040092900aa000000000000001500230000000000040000002701ffff030000000000 Jadi y y

solusinya: =

y1

+

y2 =

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+

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101ff0c00000040092900aa000000000000001500230000000000040000002701ffff030000000000 y

=

C1

+

010009000003d80500000000e40300000000e403000026060f00be07574d46430100000000000100178500000000010000009c070000000000009c070000 010000006c0000000000000000000000140000001b00000000000000000000000c020000bb02000020454d46000001009c0700000c000000010000000000 00000000000000000000000500002003000040010000c800000000000000000000000000000000e20400400d0300460000002c00000020000000454d462b 014001001c000000100000000210c0db010000006000000060000000460000008402000078020000454d462b224004000c000000000000001e4009000c00 000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005d0010000c40100000210c0db 01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d49484452000000150000001c0802000000017a63090000000173 52474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000014b49444154384fcd54bb0d83301035d9211469a851e6404a9729b20034d9 0594399019206d0a5bd46928f010ced9d8e6e38380a228b906b0eef9de1def5d20a5241fc40ec78a2a0b4c147ce97a0c0fe0b03cb5c04cb6348fc2457a2a6b 1c2c2739f38ff113323d6e69ba012e3d3c5e1d4e55a454773508afff304aeb46e86c5e649579bb13d5118b9fed741868ff366934079499c71f1fd3ec5456e115 ba0b6f00c177f4f781a2b7417fcd1ff51f1868e43a5e8017677c88d90746d02b0764e3cbd6a1bcfa223c836bedff26a2bad5f49aeced54d5620026f030dac6f4 06785bdf18c74a8751cad4e58ed1ccfe71e59adadcc4e2f221c831498e8738ed1975783d2008eb37a781fd21bedc470b4c540d011b0ace3b6b822bedbe61b 9a2d533d695dd2ce04bbd438a79e8cec9207f61ccb3eb6c279adae0b0edf05ecc9abf8ef54b73c0e62ff5ffbe6b97f1021217b618398d5ce30000000049454e 44ae42608200000840010824000000180000000210c0db01000000030000000000000000000000000000001b400000400000003400000001000000020000 00000000bf000000bf0000a8410000e04103000000000000b3000000b3ffffa741000000b3000000b3ffffdf412100000008000000620000000c00000001000 000150000000c00000004000000150000000c0000000400000051000000b40300000000000000000000140000001b0000000000000000000000000000000 0000000150000001c00000050000000c400000014010000a0020000000000002000cc00150000001c00000028000000150000001c0000000100080000000 000000000000000000000000000270000000000000000000000ffffff00baeaff0000007200ffd49b0072007200ffeaba009bbaea00009bd4009b007200ffffd 4009bd4ff00d49b0000d4ffff0000009b00eaba7200ba727200ffffea00729bd400d49b9b009b000000eaffff000072ba0072baea00ba7200009b72ba00eaea ff00eaffea0072000000bad4ff00bad4ba00ba729b00babaea009b9b9b00d4ead400ffead4009b009b00d4ffea00eaffd40001010101010101010101010101 0101010101010101bd074301010101010101010101010101010101010101010183fd420101010101010101010101010101010101010101018003430d0e00 0c01010101010101010101010101010101019be542170f010b0401010101010101010101010101010101a3d3420b00001c06010101010101010101010101 01010101a8d5420d240a0d1f250e0000041516001426160f17181101e0eb42010d0e00181115190a010b0c010b0f012021222301cf7943010101010101151 90a011704010b0f010d1f1101016d824301010101010115190a010b00001c061d1e030f010110834301010101011a1b190a010210110101151604170f015f8 74301010101010d0e140a0101080f0101010101010101e48c4301010101010115190a01010108140a010101010101678d430101010101010101010101010 10101010101010101f38843010101010101010101010101010101010101010101ffffff0000000000000000000000000000000000000000003f000001010101

01010101010101010101010101010101010800000101010101010101010101010101010101010101013e0000010101010101010101010101170000181101 010101080000010101010101010101010101151604010101010101000000010101010101080000140a010101080401010101013e00000101010101021011 011206010b040d13010101010107010001010101010b0c01010101010d0e000f0101010101070100010101010102090a0101010101010101010101010100 0000010101010101080401010101010101010101010101000000010101010101020506010706010101010101010101000000010101010101010203000004 0101010101010101010000000101010101010101010101010101010101010101010101004c000000640000000000000000000000140000001b0000000000 000000000000150000001c0000002900aa0000000000000000000000803f00000000000000000000803f00000000000000000000000000000000000000000 00000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e0000001400000000000000 10000000140000000400000003010800050000000b0200000000050000000c021c001500030000001e0004000000070104000400000007010400bf010000 410b2000cc001c001500000000001c0015000000000028000000150000001c00000001000800000000000000000000000000000000002700000000000000 00000000ffffff00baeaff0000007200ffd49b0072007200ffeaba009bbaea00009bd4009b007200ffffd4009bd4ff00d49b0000d4ffff0000009b00eaba7200ba 727200ffffea00729bd400d49b9b009b000000eaffff000072ba0072baea00ba7200009b72ba00eaeaff00eaffea0072000000bad4ff00bad4ba00ba729b00b abaea009b9b9b00d4ead400ffead4009b009b00d4ffea00eaffd400010101010101010101010101010101010101010101bd07430101010101010101010101 0101010101010101010183fd420101010101010101010101010101010101010101018003430d0e000c01010101010101010101010101010101019be54217 0f010b0401010101010101010101010101010101a3d3420b00001c0601010101010101010101010101010101a8d5420d240a0d1f250e0000041516001426 160f17181101e0eb42010d0e00181115190a010b0c010b0f012021222301cf794301010101010115190a011704010b0f010d1f1101016d8243010101010101 15190a010b00001c061d1e030f010110834301010101011a1b190a010210110101151604170f015f874301010101010d0e140a0101080f010101010101010 1e48c4301010101010115190a01010108140a010101010101678d43010101010101010101010101010101010101010101f38843010101010101010101010 101010101010101010101ffffff0000000000000000000000000000000000000000003f0000010101010101010101010101010101010101010101080000010 1010101010101010101010101010101010101013e00000101010101010101010101011700001811010101010800000101010101010101010101011516040 10101010101000000010101010101080000140a010101080401010101013e00000101010101021011011206010b040d13010101010107010001010101010 b0c01010101010d0e000f0101010101070100010101010102090a01010101010101010101010101000000010101010101080401010101010101010101010 1010000000101010101010205060107060101010101010101010000000101010101010102030000040101010101010101010000000101010101010101010 101010101010101010101010101000c00000040092900aa000000000000001c00150000000000040000002701ffff030000000000 b)

Dengan

1.

y"

menggunakan

metode

+

deret

16

y

pangkat

:

=

0

misalkan y

: =

a

0

+

a1

x

+

a2

x2

+

a3

x3

+

a

4

x4

+

a5

x5+

…

y"

=

2a2

+

6a3

x

+

12a4

x2

+

20a5

x3

+

30a6

x4

+

42a7

x5

+

…

jadi

:

y"

+

16

y

=

0

( 2a2 + 6a3 x + 12a4 x2 + 20a5 x3 + 30a6 x4 + 42a7 x5 + … ) + 16 ( a 0 + a1 x + a2 x2 + a3 x3 + a 4 x4 + a5 x5+ … ) ( 2a2 + 6a3 x + 12a4 x2 + 20a5 x3 + 30a6 x4 + 42a7 x5 + … ) + ( 16a 0 + 16a1 x + 16a2 x2 + 16a3 x3 + 16a 4 x4 + 16a5 x5+ … ) ( 2a2 + 16a 0 ) + ( 6a3 x + 16a1 x ) + ( 12a4 x2 + 16a2 x2 ) + ( 20a5 x3 + 16a3 x3 ) +

( 30a6 x4 + 16a 4 x4 ) + ( 42a7 x5 + 16a5 x5) + . .

. ( 2a2 + 16a 0 ) + x ( 6a3 + 16a1 ) + x2 ( 12a4 + 16a2 ) + x3 ( 20a5 + 16a3 ) + x4 ( 30a6 + 16a 4 ) + x4 ( 42a7 + 16a5) + . . . Sehingga 2a2 + 16a 0 = 0

diperoleh =>

: a2

=

0100090000032c07000000009804000000009804000026060f002609574d46430100000000000100e17a0000000001000000040900000000000004090000 010000006c0000000000000000000000210000001b000000000000000000000051030000bb02000020454d4600000100040900000c000000010000000000 00000000000000000000000500002003000040010000c800000000000000000000000000000000e20400400d0300460000002c00000020000000454d462b 014001001c000000100000000210c0db01000000600000006000000046000000ac020000a0020000454d462b224004000c000000000000001e4009000c00 000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005f8010000ec0100000210c0db0 1000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d49484452000000220000001c08020000008b55fa4800000001735 2474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000017249444154484bed56316e84301034fce15ca4a18e92229fb888779c920f704 d3e71f70123fe701d320f489b028bda4d0af308b25e1b8e18e56e7dd22951926d1066bcb3b30b63926118d8f523a552a832d936fd1cdd37db240917bf4847 a1c17c5557cc53002bd71b68c56ebda2540a4852185914d278682bd8f1c6af0100f98494b20d53a6cc69ff1c417bc272fb77905673b7a754f6b12a799ddb2 a4c56eb9bbb7047ca56ebdd42ce994e18bd67f90bee32b2ab6064eaf5596cb07d46b38c5b165fbeab98329b45ef7956ecb5992d5b793639a4beeff207d334 bd3aa0baf6b67eb33c94c1c028a610d8f77110cccfc8df17b2b513020c2c20d25f49349452424c2bf025f197abd100817bf1507df2c35c80f20d7e3be67735e da2cf337e067f9a068e198c3316bee86a4cd3c018ab0ccd5eb2c703fa3f392ef12b6b24ce44a811a3662c5d9520ea6971749d5446ad67c4450bc18d710e3d7 11829a61f034aa13134f3d36df9cb7192eddfd3c81fcb11f801f6f366a2ba3103800000000049454e44ae4260820000000840010824000000180000000210c0 db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000008420000e0410300000000 0000b3000000b3ffff0742000000b3000000b3ffffdf412100000008000000620000000c00000001000000150000000c00000004000000150000000c0000000 400000051000000f40400000000000000000000210000001b00000000000000000000000000000000000000220000001c00000050000000b400000004010 000f0030000000000002000cc00220000001c00000028000000220000001c0000000100080000000000000000000000000000000000230000000000000000

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1020000001d0f0101010101010101010101010101d5420101010101010101010101010101011b1c01220f01010101010101010101010101017f4401010101 0101010101010101010101011b1c0101010101010101010101010101010182430101010101010101010101010101010101210f0101010101010101010101 010101011d4401010101010101010101010101010101010d200c01010101010101010101010101018c430101010101010101010101010101050a0405180c 0101010101010101010101010101174401010101010101010101010101010102000012010101010101010101010101010101854301010101010101010101 0101010101010101010101010101010101010101010101011844010101010101010101010101010101010101010101010101010101010101010101018843 010101010101010101010101010101010101010101010101010101010101010101011a440101010101010101010101010101010101010101010101010101 01010101010101018743010101010101010101010101010101010101010101010101010101010101010101011b4400000000000000000000000000000000 0000000000000000000000000000000000007c43010101010101010101010101010101010101010101010101010101010101010101017b44010101010101 01010101010101010101010101010101010101010101010101010101794301010101010101010101010101010101010101010101010101010101010d1f00 1c017d44010101010101010101010101010101010101010101010101010101010102120d1704ed420101010101010101010101011b0000001c0115000003 0405061d1e061c151c07140c7c4401010101010101010101010101050a040105180c0115121512070812191a120d1704e742010101010101010101010101 01050a04010203040115120216010d170407080012017a4405060000000000120101010101050a0401051306000b0c0d0e0f07140c0101010101f04201010 101010101010101010101050a04010d0e0f01010101050600101101010101011a4401010101010101010101010708090a040101020b0c010101010101010 1010101010109430101010101010101010101010102030401010105060304010101010101010101010118440101010101010101010101010101010101010 10101010101010101010101010101010e430c00000040092900aa000000000000001c00220000000000040000002701ffff030000000000 6a3 + 16a1 = 0

=>

a3

=

-

8a

0 =

0100090000031007000000008404000000008404000026060f00fe08574d46430100000000000100222f0000000001000000dc08000000000000dc0800000 10000006c0000000000000000000000210000001b000000000000000000000051030000bb02000020454d4600000100dc0800000c0000000100000000000 0000000000000000000000500002003000040010000c800000000000000000000000000000000e20400400d0300460000002c00000020000000454d462b0 14001001c000000100000000210c0db010000006000000060000000460000009402000088020000454d462b224004000c000000000000001e4009000c000 00000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005e0010000d40100000210c0db0 1000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d49484452000000220000001c08020000008b55fa4800000001735 2474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000015a49444154484be555cb718330105dd18339e44201f1214d78863a3c7103f2 254dd80d88711d8c28200dc070e69283284259f1315872865d66e264129d407abb4ffb9ea415d65af8fe115129aa4c1c8b768e6e8ba310fee417e928345dbe 4b2de72990356ef628c569b7a1ec1491a461b494da0cd052c1f433cc21a0e3535aebd24f19415ffbedf0e4f1b7db7e606979dcc764955baeb2384fdd2e4c923 74fcf7e44049bdd2928674109d39c217deba28cae2f6859f57e50fb4e3ed34012f72c333b29de04dac7893c376636edca73c951996d9dbe98a268dde761825 08c412bae4375ba8f46c0e0d1f02f75e91cea31d6966a741028346b310fa099ea75b5895ff60a50eee08f63fe9668abae27df83ff4ec3e966577599270d1fdd2

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=>

a4

=

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