Differential Equations II

Overview

Contents:
Introduction to differential equations - Separable Differential Equations - Exact Equations Intuition-Integrating factors - First order homegenous equations - 2nd Order Linear Homogeneous Differential Equations - complexwd,Repeated roots of the characterisitic equations - Undetermined Coefficients - Laplace Transform to solve an equation - More Laplace Transform tools - Using the Laplace Transform to solve a nonhomogenous eq

Laplace Transform of : L{t}, t^n: L{t^n}-Laplace Transform of the Unit Step Function - Inverse Laplace Examples - Laplace/Step Function Differential Equation - Dirac Delta Function - Laplace Transform of the Dirac Delta Function - Introduction to the Convolution - The Convolution and the Laplace Transform - Using the Convolution Theorem to Solve an Initial Value Prob