Find the Laplace transform of the solution of y'' + 2y = 3cos(2x), y(0) = -2.
What is the Laplace transform of the solution?
a) Y(s) = (3s)/((s² + 4)(s + 2)) - (2)/(s + 2)
b) Y(s) = (6s)/((s² + 4)(s + 2)) - (2)/(s + 2)
c) Y(s) = (3s)/((s² + 4)(s + 2)) + (2)/(s + 2)
d) Y(s) = (3s)/((s² + 4)(s + 2)) - (3)/(s + 2)