Tugas Mandiri Ke 2.docx

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TUGAS MANDIRI KE 2 MATEMATIKA 2 Kerjakan Soal berikut ini dan Kumpulkan di Pertemuan Mendatang. Tentukan solusi dari PD di bawah ini ! 1. 2𝑥𝑦 ′ + 𝑥 2 = 0.

6. 𝑦 ′ 𝑒 𝑥 + 2𝑥𝑦 = 0.

2. 𝑦 ′ − 𝑥𝑦 2 = 0.

7. 5𝑥𝑦 + 𝑦 ′ 𝑥 = 0.

3. 3𝑥𝑦 ′ − 𝑦 = 0.

8.

𝑦′ 2𝑥

=

1 𝑥 2 +1

.

4. 𝑦𝑦 ′ = 3 cos 2𝑥. 5. 𝑦 ′ tan 𝑥 − 𝜋 = 0. Tentukan solusi masalah nilai awal dari PD berikut ini ! 1. 𝑥𝑦 ′ + 𝑦 = 1 , 𝑥

2. 𝑦 ′ − = 0 , 𝑦

𝑦(𝑒) = 1. 𝑦(2) = 0.

3. 𝑦𝑦 ′ − 2 sin2 𝑥 = 0 , 𝑦(0) = √3. 4. 𝑦 3 𝑦 ′ = 𝑥 3 ,

𝑦(1) = 0.

5. 𝑦 ′ + 𝑥 2 𝑦 = 0 ,

𝑦(1) = 1.

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