Khan Academy on a Stick
First order differential equations
Differential equations with only first derivatives.

What is a differential equation
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What a differential equation is and some terminology.

Simple Differential Equations
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3 basic differential equations that can be solved by taking the antiderivatives of both sides.
Intro to differential equations
How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. How do you like me now (that is what the differential equation would say in response to your shock)!

Separable Differential Equations
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Introduction to separable differential equations.

Separable differential equations 2
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Another separable differential equation example.
Separable equations
Arguably the 'easiest' class of differential equations. Here we use our powers of algebra to "separate" the y's from the x's on two different sides of the equation and then we just integrate!

Exact Equations Intuition 1 (proofy)
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Chain rule using partial derivatives (not a proof; more intuition).

Exact Equations Intuition 2 (proofy)
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More intuitive building blocks for exact equations.

Exact Equations Example 1
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First example of solving an exact differential equation.

Exact Equations Example 2
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Some more exact equation examples

Exact Equations Example 3
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One more exact equation example

Integrating factors 1
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Using an integrating factor to make a differential equation exact

Integrating factors 2
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Now that we've made the equation exact, let's solve it!
Exact equations and integrating factors
A very special class of often nonlinear differential equations. If you know a bit about partial derivatives, this tutorial will help you know how to 'exactly' solve these!

First order homegenous equations
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Introduction to first order homogenous equations.

First order homogeneous equations 2
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Another example of using substitution to solve a first order homogeneous differential equations.
Homogeneous equations
In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations). Actually, the term "homogeneous" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).