Problem 14.5-2

We have

We can find A, B and C by identifying the two sides of the equality, we get

A = 4. B = - 3, and C = -7

We can take the inverse Laplace transform and we get

f(t) = 4e^-t – 3e^-tcos(t) – 4e^-tsin(t), t ≥ 0