Symbolic Differential Equation Solving

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Introduction to Differential Equation Solving with DSolve

Classification of Differential Equations

Ordinary Differential Equations (ODEs)

Overview of ODEs

First-Order ODEs

Linear Second-Order ODEs

Nonlinear Second-Order ODEs

Higher-Order ODEs

Systems of ODEs

Nonlinear ODEs with Lie Symmetries

Partial Differential Equations (PDEs)

Introduction to PDEs

First-Order PDEs

Second-Order PDEs

Differential-Algebraic Equations (DAEs)

Introduction to DAEs

Examples of DAEs

Initial and Boundary Value Problems

Introduction to Initial and Boundary Value Problems

Linear IVPs and BVPs

Nonlinear IVPs and BVPs

IVPs with Piecewise Coefficients

Working with DSolve—A User’s Guide

Introduction

Setting Up the Problem

Verification of the Solution

Plotting the Solution

Generated Parameters

Symbolic Parameters and Inexact Quantities

Is the Problem Well-Posed?

References

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Symbolic Differential Equation Solving

Introduction to Differential Equation Solving with DSolve

Classification of Differential Equations

Ordinary Differential Equations (ODEs)

Partial Differential Equations (PDEs)

Differential-Algebraic Equations (DAEs)

Initial and Boundary Value Problems

Working with DSolve—A User’s Guide

References