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.
- Introduction to ordinary differential equations.
- First-order equations
- Higher-order linear equations
- Introduction to nonlinear equations