MATH 334: Differential Equations

Differential equations of the first order and first degree, linear equations, variation of parameters, methods of undetermined coefficients, inverse operators, Laplace transforms, systems of differential equations, and applications.

• First-order differential equations: separable equations, integrating factors, exact equations, and Bernoulli models in MATH 334
• Higher-order linear equations: characteristic equations, undetermined coefficients, and variation of parameters
• Laplace transform techniques: operational properties, Dirac delta functions, step functions, and initial value problems
• Systems of differential equations: phase portraits, stability analysis, eigenvalues, and matrix solutions in Differential Equations