Differential Equations

This book takes a problem solving approach in displaying equations, giving explanations, and how to plot with minimal input. Matlab Symbolic toolbox makes it possible to get differential equations, analytical expressions, solutions, plots, etc. in a format that replicates an instructor’s classwork.

First Order Differential Equations Introduction D-field plots Methods of solving first order differential equations Additional examples on D-field plots Autonomous Differential Equations Summary Exercises Linear Second Order Differential Equations with constant Coefficients Introduction Homogeneous Differential Equations Non-homogeneous Differential Equations: Particular Solutions and Complete Solutions Summary Exercises Linear Higher Order Differential Equations with Constant Coefficients Introduction Homogeneous differential equations (n<5) Non-homogeneous Differential equations and Particular solutions (n<5) Additional methods of obtaining the solution and verification Higher order differential equations (n>4) Examples Summary Exercises First order coupled differential equations with constant coefficients Introduction A pair of coupled differential equations Multiple first order coupled differential equations of constant coefficients Numerical Solutions Examples Summary Exercises