Assigment 1 20172018 Sem2.docx

(i)

Identify whether or not the following equations is homogeneous:

If homogeneous, find the solution of the equation. (6 marks) (ii)

Calculate the solution of the differential equation

which satisfies an

initial condition y(-1)=0 by using separable equation. (7 marks) (iii)

Convert the following differential equation to a linear equation:

Hence, find the solution of the original equation which satisfies the initial condition y=1 and x=2 (7 marks)

(iv)

Interpret

by using the method of undetermined

coefficient. (8 marks)

(v)

Given

. Produce the solution for the given

differential equation by using the variation of parameters method. (12 marks)