Worked Examples
This page is a compendium of worked examples for MATH 341 Differential Equations.
Showing a function is a solution works through the details of showing that a particular function solves a particular differential equation.
First-order equations worked examples for first-order equations including topics such as sketching slope-fields, finding general solutions and solutions to initial value problems for separable and linear equations, integrating factors, and applications to mechanics, population biology, and electric circuits.
Second-order linear constant coefficient equations provides worked examples for second-order linear equations with constant coefficients including topics such as homogeneous equations, nonhomogeneous equations and undetermined coefficients. Initial value problems and applications are also considered.
Variation of parameters provides worked examples solving second-order linear equations with non-constant coefficients using the method of variation of parameters. Initial value problems and applications are also considered.