1. Solve the third-order initial value problem below using the
method of Laplace transforms.
60y′′′+8y′′+11y′−20y=−60, y(0)=11, y′(0)=−10, y"(0)= 50
2. Use the method of Laplace transforms to find a general
solution to the differential equation below by assuming that a and
b are arbitrary constants.
5y′′+6y′+25y=5, y(0)=a, y'(0)=b