Use the Laplace transform to find the solution of the IVP y00 + y0 + 5 4 y = b(t), y(0) = 0, y0(0) = 0, b(t) = (1, t ∈ [0,π) 0, t ∈ [π,∞). Solution: So: a = 4 5, b = − 4 5, c = − 4 5. Hence, we have found that, H(s) = 1 s2 + s + 5 4 s = 4 5 h1 s − (s +1) s2 + s + 5 4 i We have to compute the inverse Laplace Transform h(t) = 4 5 L ...