Answer and working out

b) (12 marks) Consider the following IVP problem: dzy dy . , W6a+9y=sm2x;y(0) = 1;y(0) =0 i. Write the complementary equation for the given equation. ii. Write the auxiliary equation for the equation in part (i), solve it and hence obtain the general solution of the complementary equation. iii. Find a particular solution for the given equation. iv. Write the general solution for the given equation. v. Hence find the solution for the given IVP