1. Solve the following initial value problem, using Laplace Transforms.
9y'' - 8y' - y = 10et
y(0) = -4
y'(0) = -3
2. The function f is defined piecewise:
![1706_eq.png](https://secure.tutorsglobe.com/CMSImages/1706_eq.png)
Write f(t) in terms of the Heaviside (step) function u∗, and then solve the following initial value problem using Laplace Transforms:
Y'(t) = f(t)
y(0) = 0