Differential equations contain derivatives, solving the equation involves integration (to get rid of the derivatives). We will cover the most common methods to solve ODE’s: linear, separable and Bernoulli.

- Linear first order equation is an ODE of the form
- Separable equation is an ODE of the form
- Bernoulli equation is an ODE of the form

You have first to identify the ODE type (can be tricky); then simply follow the steps as described below.

Here’s an example of a separable equation (click here):

Simply solve by integrating both sides of the equation:

Here’s an example of a linear first order equation (click here):

Steps to find the integration factor:

Here’s an example of a Bernoulli equation (click here):

In the next post we will take a closer look at each of the ODE types.

Cheers,

Michal