MAT 232 - Differential Equations

Course Objectives

1.To introduce the basic concepts required to understand, construct, solve and interpret differential equations. 2.To teach methods to solve differential equations of various types. 3.To give an ability to apply knowledge of mathematics on engineering problem

Course Description

Classification of Differential Equations, First order equations;linear equations, separable equations, change of variableand integrating factor, existence and uniqueness theorems, applications. Second order linear equations; linear equationswith constant coeficients, Homogeneous equations, the method of reduction of order, Nonhomogeneous Equations, themethod of undetermined coefficients, the method of variation of parameters, Higher order linear equations. Euler-Cauchy equation. Power series method; solution around ordinary and regular-singular points. Laplace transformation;basic definition and theorems, solution of initial value problems, convolution, delta function, transfer function. Systemsof linear differential equations; fundamental theories, solutions of homogeneous and nonhomogeneous system ofdifferantial equations, solutions using Laplace transformation