9. Exercise Problems

  1. Solve by using Laplace transform: \(\dfrac{dy}{dt}=5-2t; \quad y(0) = 1\). (Ans: \(y=1+5t-t^2\))

  2. Solve by Laplace transform method, the initial value problem \(y'' = 10; \quad y(0) = y'(0) = 0\). (Ans: \(y=5t^2\))