Differential Equations

Catalog description

This course focuses on the qualitative and quantitative analysis of select differential equations and systems of equations. Topics include separable first-order equations, first-order linear equations, higher-order linear homogeneous equations, higher-order linear homogeneous equations with constant coefficients, the method of undetermined coefficients, the Laplace transform, matrix algebra, matrix methods for algebraic linear systems, eigenvalues, eigenvectors, and the eigenvalue method for homogeneous linear systems with constant coefficients. Applications include Euler’s method and models with first-order, higher-order, and systems of linear differential equations.