Differential Equations

A course in ordinary differential equations utilizing concepts and techniques from Calculus I, II, and Linear Algebra. Emphasis is on solution to higher order linear equations. First order topics include: separation of variables, exact equations, integrating factors, and homogenous and nonhomogenous systems with applications to networks. Higher order topics include: a detailed study of solutions to second order linear equations by reduction of order, variation of parameters, and series solutions; linear independence of solutions, the Wronskian, general solution to linear homogenous and nonhomogenous equations, and linear equations with constant coefficients and the Laplace transform method.