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.