In: Advanced Math
1. Solve the initial value problem below using the method of Laplace transforms.
56w′′−4w′+4w=16t+56, w(−3)=2, w'(-3)=2
2. Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.
ty′′−6y′+9y=cos5t−sin5t, y(0)=4, y'(0)=4