In this video I show you how to solve the first order differential equation of the form:

Integrating factor type:

  • \dfrac{dy}{dx} + Py = Q \hphantom{a}\text{ where } P \text{ and } Q \text{ are functions of } x

by using an integrating factor

Examples

In this video I give you two examples to try and talk you through the worked solutions. If you are unsure of the this type of equation which requires an integrating factor, then look at the previous tutorial on this.

Examples in the video

Simplifying the following:

  1. \dfrac{{dy}}{{dx}} - 5y = {e^x}
  2. \sin x\dfrac{{dy}}{{dx}} + 3y\cos x = {\rm{cosec }}x