Differential equations

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Educational level: this is a tertiary (university) resource.
Subject classification: this is a mathematics resource.
Completion status: this resource is just getting off the ground. Please feel welcome to help!

Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions. A differential equation (DE) is an equation relating a function to its derivatives. If the function is of only one variable, we call the equation an ordinary differential equation (ODE). Equations relating the partial derivatives (See: Vector calculus) of a function of several variables are called partial differential equations (PDEs). Ordinary differential equations are much easier to solve than partial differential equations, so these will be our main focus.


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