i need help solving this problem in differential equations class

(a) [4 points] Show that, if x) is of exponential order, a: f (as) is also of exponential order. Hint. Start by showing a: 3 ex on [0, +00). (b) [8 points] Let y = guts) solve y" 2y' + y = 1: y(0) = 6, y'(0) = b, where a, b E IR. Prove that y = guts) is of exponential order for all a, b E R. Remark. In this part, you are advised not to apply the Laplace transform, since the main task here is to prove y = Mac) is of exponential order before we prove that, it may not make sense to discuss L[y(:1:)]