Differential Equations (Dawkins P)

Ordinary Differential Equations by Gabriel Nagy

This book explains the following topics: First Order Equations, Second Order Linear Equations, Reduction of Order Methods, Homogenous Constant Coefficients Equations ,Power Series Solutions, The Laplace Transform Method, Systems of Linear Differential Equations, Autonomous Systems and Stability, Boundary Value Problems.

Author(s): Gabriel Nagy

431 Pages

Introduction to Differential Equations by Andrew D. Lewis

This note explains the following topics: What are differential equations, Polynomials, Linear algebra, Scalar ordinary differential equations, Systems of ordinary differential equations, Stability theory for ordinary differential equations, Transform methods for differential equations, Second-order boundary value problems.

Author(s): Andrew D. Lewis

641 Pages

Ordinary Differential Equation by Alexander Grigorian

This note covers the following topics: Notion of ODEs, Linear ODE of 1st order, Second order ODE, Existence and uniqueness theorems, Linear equations and systems, Qualitative analysis of ODEs, Space of solutions of homogeneous systems, Wronskian and the Liouville formula.

Author(s): Alexander Grigorian

133 Pages

Differential Equations for Engineers

This note covers the following topics: The trigonometric functions, The fundamental theorem of calculus, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

Author(s): Jeffrey R. Chasnov

149 Pages

Ordinary Differential Equations Lecture Notes by Eugen J. Ionascu

This note explains the following topics: Solving various types of differential equations, Analytical Methods, Second and n-order Linear Differential Equations, Systems of Differential Equations, Nonlinear Systems and Qualitative Methods, Laplace Transform, Power Series Methods, Fourier Series.

Author(s): Eugen J. Ionascu

112 Pages

A First Course in Elementary Differential Equations

This note covers the following topics: Qualitative Analysis, Existence and Uniqueness of Solutions to First Order Linear IVP, Solving First Order Linear Homogeneous DE, Solving First Order Linear Non Homogeneous DE: The Method of Integrating Factor, Modeling with First Order Linear Differential Equations, Additional Applications: Mixing Problems and Cooling Problems, Separable Differential Equations, Exact Differential Equations, Substitution Techniques: Bernoulli and Ricatti Equations, Applications of First Order Nonlinear Equations, One-Dimensional Dynamics, Second Order Linear Differential Equations, The General Solution of Homogeneous Equations, Existence of Many Fundamental Sets, Second Order Linear Homogeneous Equations with Constant, Coefficients, Characteristic Equations with Repeated Roots, The Method of Undetermined Coefficients, Applications of Nonhomogeneous Second Order Linear Differential Equations.

Author(s): Marcel B. Finan

213 Pages

Partial Differential Equations Lectures by Joseph M. Mahaffy

This note introduces students to differential equations. Topics covered includes: Boundary value problems for heat and wave equations, eigenfunctionexpansions, Surm-Liouville theory and Fourier series, D'Alembert's solution to wave equation, characteristic, Laplace's equation, maximum principle and Bessel's functions.

Author(s): Joseph M. Mahaffy

NA Pages

Introduction to Partial Differential Equations

Goal of this note is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. Topics covered includes: Power Series, Symmetry and Orthogonality, Fourier Series, Partial Differential Equations, PDE’s in Higher Dimensions.

Author(s): John Douglas Moore

169 Pages

Introduction to Ordinary and Partial Differential Equations

This note covers the following topics: Classification of Differential Equations, First Order Differential Equations, Second Order Linear Equations, Higher Order Linear Equations, The Laplace Transform, Systems of Two Linear Differential Equations, Fourier Series, Partial Differential Equations.

Author(s): Wen Shen

234 Pages

Elementary Differential Equations With Boundary Value Problems

This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value Problems for Second Order Linear Equations.

Author(s): William F. Trench

806 Pages

Mathematical Methods For Partial Differential Equations

These are the sample pages from the textbook. Topics Covered: Partial differential equations, Orthogonal functions, Fourier Series, Fourier Integrals, Separation of Variables, Boundary Value Problems, Laplace Transform, Fourier Transforms, Finite Transforms, Green's Functions and Special Functions.

Author(s): John Henry Heinbockel

NA Pages

Integral And Differential Equations

This book covers the following topics: Geometry and a Linear Function, Fredholm Alternative Theorems, Separable Kernels, The Kernel is Small, Ordinary Differential Equations, Differential Operators and Their Adjoints, G(x,t) in the First and Second Alternative and Partial Differential Equations.

Author(s): Professor Jim Herod

NA Pages

Linear Partial Differential Equations and Fourier Theory

This is a textbook for an introductory course on linear partial differential equations (PDEs) and initial/boundary value problems (I/BVPs). It also provides a mathematically rigorous introduction to Fourier analysis  which is the main tool used to solve linear PDEs in Cartesian coordinates.

Author(s): Marcus Pivato

619 Pages

Integral And Differential Equations

This note covers the following topics: Integral Equations, Ordinary Differential Equations, Partial Differential Equations.

Author(s): Professor Jim Herod

NA Pages

Linear Differential Equations

This note covers the following topics: Derivatives, differential equations, partial differential equations, distributions, Cauchy-Kowalewsky theorem, heat equation, Laplace equation, Schrodinger equation, wave equation, Cauchy-Riemann equations.

Author(s): L. Boutet de Monvel

26 Pages

Ordinary Differential Equations Sheldon

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages