Differential Equation

Defined as any equation which has both a function and one of more of its derivatives.

For example,

$$3\frac{dx}{dt}+x^3=\sin x$$

*if you instead have an integral and $f(x)$, you get an *

Categorization

• If the function only involves ordinary derivatives, this is called an ODE.
• If the function includes multiple independent variables, or involves partial derivatives, then it is a PDE (partial differential equation).