Q1) (15 pts) a) Find the complementary (homogeneous) solution of y(5) — y(3) = f(t). b) Determine the particular solution yp (t) if (i) f(t) = et (ii) f(t) = 2t² (iii) f(t) = (3t+2) Cos2t Using the method of undetermined coefficients (Do not calculate the coefficients). (Other methods will not be graded.) 2) (10 pts) Find a linear differential equation whose general solutions is y(x) = C₁e* + C₂xe* + C3e *Cos 2x + C4e-*Sin 2x
