Question

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

Answer 1

here a & b are arbitary Constants.