Differential equations

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Learn the basics, starting with Intro to differential equations
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First order differential equations

Differential equations with only first derivatives.
Intro to differential equations
Slope fields
Euler's Method
Separable equations
Exponential models
Logistic models
Exact equations and integrating factors
Homogeneous equations

Second order linear equations

Linear differential equations that contain second derivatives
Linear homogeneous equations
Complex and repeated roots of characteristic equation
Method of undetermined coefficients

Laplace transform

Transforms and the Laplace transform in particular. Convolution integrals.
Laplace transform
Properties of the Laplace transform
Laplace transform to solve a differential equation
The convolution integral

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Differential equations introduction
Worked example: linear solution to differential equation
Differential equations intro
Writing a differential equation
Write differential equations

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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)!
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