6. Solving Differential Equations with Laplace Transforms 

This video explains an important application of Laplace Transforms - solving differential equations. The Laplace Transform of derivatives is explained, which is then applied to an example which follows a four-step procedure to solve the differential equation. The Laplace Transform is taken for each term, and initial conditions are then applied. The resulting algebraic equation is then solved, and the inverse Transform is taken to find the function as the solution to the differential equation.