First order differential equations

Differential equations with only first derivatives.
All content in “First order differential equations”

Modeling with differential equations

Now that you know how to find solutions to separable differential equations, we can use this skill to model some real world phenomena like population growth and how things might cool down.

Euler's Method

Most differential equations cannot be solved by "hand" (through analytical means). However, this doesn't mean that we have to give up! As we'll see in this tutorial, we can use numerical methods to approximate a solution to a differential equation. In particular, we'll learn about Euler's Method which is a fairly intuitive way to do this!

Homogeneous equations

In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations). Actually, the term "homogeneous" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).