Please see the attached file for the fully formatted problem.
Apply the method of Laplace transforms to solve the initial-value problem
y'' - y = u1(t)
where y(0) = 0 and y'(0) = 0.© BrainMass Inc. brainmass.com September 19, 2018, 9:06 am ad1c9bdddf - https://brainmass.com/math/calculus-and-analysis/solving-ivp-using-laplace-transform-211713
The solution shows how to utilize the convolution property of the Laplace transform to solve a differential equation with initial consitions.