Laplace transform of e^at

Laplace transform of cosine and polynomials!

Figuring out the Laplace Transform of the Dirac Delta Function

Introduction to the unit step function and its Laplace Transform

Second part of using the Laplace Transform to solve a differential equation.

Using the Laplace Transform to solve an equation we already knew how …

Useful properties of the Laplace Transform

Part 2 of getting the Laplace transform of sin(at)

What happens when the characteristic equation only has 1 repeated root?

An example where we use initial conditions to solve a repeated-roots differential …

Introduction to separable differential equations.

Another separable differential equation example.

A grab bag of things to know about the Laplace Transform.

Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.

Another example using undetermined coefficients.

Another example where the nonhomogeneous part is a polynomial

Putting it all together!

Using the Convolution Theorem to solve an initial value problem

Solving a non-homogeneous differential equation using the Laplace Transform