Differential Equations

Differential Equations examines the methods and theory of ordinary differential equations (ODEs), focusing on the classification and solution of initial- and boundary-value problems. The course advances to the analysis and solution of linear and nonlinear differential equations, including systems of equations and higher-order differential equations with both constant and variable coefficients. Emphasis is placed on real-world applications and stability analysis. Students will explore advanced techniques such as matrix exponential, fundamental solution matrices, phase-space analysis, Laplace transforms, and an introduction to partial differential equations (PDEs). This course builds on matrix and vector concepts and prepares students for more advanced mathematics courses.

Official catalog text — WGU-authored.