What is a differential equation

How to classify differential equations

General solutions and initial value problems (differential equations)

How to solve a first order linear differential equation with integrating factors

First order linear differential equation example #1

First order linear differential equation example #2

How to solve separable differential equations

Separable differential equation example #1

Separable diferential equation example #2

How to solve Bernoulli differential equations

Bernoulli differential equation example #1

Bernoulli differential equation example #2

How to solve exact differential equations

Exact differential equation example #1

Exact differential equations example #2

How to solve non exact differential equations with an integrating factor

Non-exact differential equation with integrating factor example

Non-exact differential equation: find m and n such that (x^n)(y^m) is an integrating factor

Euler's method for differential equations

Euler's method for differential equations example #1

Euler's method example #2: calculating error of the approximation

Characteristic equation and general solution of a linear second order DE

Linear second order DE: characteristic equation with real distinct roots example

Linear second order DE: characteristic equation with real repeated roots example

Linear second order DE: characteristic equation with complex roots example

Fundamental solution set and wronskian

Reduction of order method introduced for second order differential equations

Reduction of order example

Undetermined coefficients method

Undetermined coefficients example #1

Undetermined coefficients example #2

Undetermined coefficients example #3

Variation of parameters method - second order differential equations

Variation of parameters example #1 - second order differential equation

Variation of parameters example #2 - second order differential equation

Variation of parameters example #3 - second order differential equation