Ordinary differential equations

From Mathematics wiki

Contents 1 Introduction 2 Linear differential equations 2.1 Linear DEs with constant coefficients 2.2 Systems of linear DEs 2.3 General linear differential equations 2.4 Sturm-Liouville theory 3 Non-linear differential equations

Introduction

Linear differential equations

• Linear dependence
• Wronskian

Linear DEs with constant coefficients

• 2nd-order linear DE with constant coefficients
• Higher-order linear DE with constant coefficients

Systems of linear DEs

• System of linear DEs with constant coefficients

General linear differential equations

• Method of undetermined coefficients
• Method of variation of parameters

Sturm-Liouville theory

Non-linear differential equations