# Differential Equations

### Why are we studying this?

There are many applications of differential equations, including the following (which we meet later in this chapter):

**Differential equations** are a special type of **integration** problem.

Here is a simple differential equation of the type that we met earlier in the Integration chapter:

We didn't call it a differential equation before, but it is one. We'll see several different types of differential equations in this chapter.

Before we see how to solve differential equations, let's see an example of them in action in the AIDS example.

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Chapter Contents

- Differential Equations
- Predicting AIDS - a DEs example
- 1. Solving Differential Equations
- 2. Separation of Variables
- 3. Integrable Combinations
- 4. Linear DEs of Order 1
- 5. Application: RL Circuits
- 6. Application: RC Circuits
- 7. Second Order DEs - Homogeneous
- 8. Second Order DEs - Damping - RLC
- 9. Second Order DEs - Forced Response
- 10. Second Order DEs - Solve Using SNB
- 11. Euler's Method - a numerical solution for Differential Equations
- 12. Runge-Kutta (RK4) numerical solution for Differential Equations