Differential equations

Introduction

A differential equations is an equation containing derivatives. These equations can be solved to find useful laws of physics. The order of a differential equation is given by the highest order derivative in the equation (so an equation with a second derivative would be a second-order differential equation, an equation with a third derivative would be a third-order derivative, etc.)

\frac{dy}{dx}=f(x)
y=\int f(x)

Ordinary differential equations

First-order differential equations

Second-order differential equations

Partial differential equations