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School:Mathematics > Topic:Differential_Equations > Ordinary Differential Equations
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.
- First Order Equations
- Higher Order Linear Equations
- Introduction to Nonlinear equations