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Lecture Notes in Differential Equations
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Description
Contents
Reviews
Language
English
ISBN
978-0-557-82911-8
Front Cover
Table of Contents
Preface
Basic Concepts
A Geometric View
Separable Equations
Linear Equations
Bernoulli Equations
Exponential Relaxation
Autonomous ODES
Homogeneous Equations
Exact Equations
Integrating Factors
Picard Iteration
Existence of Solutions*
Uniqueness of Solutions*
Review of Linear Algebra
Linear Operators and Vector Spaces
Linear Eqs. w/ Const. Coefficents
Some Special Substitutions
Complex Roots
Method of Undetermined Coefficients
The Wronskian
Reduction of Order
Non-homog. Eqs.w/ Const. Coeff.
Method of Annihilators
Variation of Parameters
Harmonic Oscillations
General Existence Theory*
Higher Order Equations
Series Solutions
Regular Singularities
The Method of Frobenius
Linear Systems
The Laplace Transform
Numerical Methods
Critical Points
Table of Integrals
Table of Laplace Transforms
Summary of Methods
Bibliography
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