Differential Equations

ODE - ordinary differential equation

a differential equation with only one independent variable

PDE - partial differential equation

a differential equation with more than one independent variable

Order

highest derivative that appears in the equation

Linear

A linear differential equation has the form

Non-linear

How to find solution to a given differential equation

1. Find out the order of the equation
2. Take your given and derive it to the highest order in the equation
3. Substitute and make both sides of the equation equivalent