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📚 Differential Equations for Engineers
Chapters ▾
0 Introduction1 First order ODEs2 Higher order linear ODEs3 Systems of ODEs4 Fourier series and PDEs5 Eigenvalue problems6 The Laplace Transform7 Power series methods8 Nonlinear SystemsA Linear AlgebraB Table of Laplace Transforms

Chapter 2: Higher order linear ODEs

Let us consider the general second order linear differential equation

A ( x ) y ″ + B ( x ) y ′ + C ( x ) y = F ( x ) .

We usually divide through by A(x) to get

y ″ + p ( x ) y ′ + q ( x ) y = f ( x ) ,

Adapted from Differential Equations for Engineers by Jiří Lebl (Oklahoma State University), hosted on LibreTexts (math.libretexts.org) and licensed under CC BY-SA 4.0. Changes were made. License: CC-BY-SA-4.0.