The Laplace transform is a powerful tool to solve linear time-invariant (LTI) differential equations. We have used the Fourier transform for the same purpose, but the Laplace transform, whether ...

Instead of having to solve a differential equation, you can perform a Laplace, solve using common algebra, and then do a reverse transform to get the right answer. This is similar to how ...

The Laplace transform is a very useful tool for analyzing linear time-invariant (LTI) electric circuits. It can be used to solve the differential equation relating an input voltage or current signal ...

This course covers differential equation derivation to model systems, solving these equations through Laplace transforms to determine transfer functions for simple mechanical, electrical, and ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...