Let's find the general solution!

Now that we've made the equation exact, let's solve it!

Using our toolkit to take some inverse Laplace Transforms

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

What happens when the characteristic equations has complex roots?!

Let's use some initial conditions to solve for the particular solution

Some more exact equation examples

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

Introduction to the Dirac Delta Function

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

Using the Convolution Theorem to solve an initial value problem

Another example using undetermined coefficients.

First example of solving an exact differential equation.

Introduction to the unit step function and its Laplace Transform

Introduction to the Laplace Transform

Using an integrating factor to make a differential equation exact

What happens when the characteristic equation has complex roots?

Introduction to the Convolution

Laplace transform of cosine and polynomials!