Question 4 You are given the following nonhomogeneous LDE: d2y E + 4y = 3sin(2x) a) Find the general solution to the complementary equation. [2] b) Also nd the particular solution. (Hint: the most obvious solution guess will not work). [3] c) Now you are given the boundary conditions that y = 2 at x = 0 and if = 1 at x = 0. Use this information and the answers to a) and b) to nd the full solution to the differential equation. [3] [8 total]