10: (a) Given the initial value problem y' + 4y = 17 sint, y(0) = 5, find the Laplace transform of the solution Y(s). (b) Using the Laplace transform, Y(s), find y(t), the solution to our initial value problem. *Don't forget: Your answer should be a function of t. 73 68 5 (A) S 5 S (E) 5 + 68 68 (B) s + 4 $2 + 1 (C) + s+ 4 + $2+ 1 s+4 2+ 1 (D) + s + 4 2 + 1 s + 4 2 + 1 68 68 (F) (G) 5+ 1 5 - 4 S - 4 + 6 s+4 $ 2 + 1 s+ 4 2 +1 (H) s +4 2 + 1