Before starting the example, you need to know the following steps to solve DE by Laplace transforms.
- Step 1. Take the Laplace transforms of both sides of the equation.
- Step 2. Solve for the Laplace of Y.
- Step 3. Manipulate the Laplace transform, F(s) until it matches one or more table entries.
- Step 4. Take the inverse of the Laplace transform to find the original function f(t).