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Elementary Differential Equations
This note covers the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations.
Author(s): William F. Trench
663 Pages 
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
Differential Equations Jeffrey R. Chasnov
The contents of this book include: A short mathematical review, Introduction to odes, 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
Elementary Differential Equations
This note covers the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations.
Author(s): William F. Trench
663 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
Ordinary Differential Equation Notes by S. Ghorai
This note covers the following topics: Geometrical Interpretation of ODE, Solution of First Order ODE, Linear Equations, Orthogonal Trajectories, Existence and Uniqueness Theorems, Picard's Iteration, Numerical Methods, Second Order Linear ODE, Homogeneous Linear ODE with Constant Coefficients, Non-homogeneous Linear ODE, Method of Undetermined Coefficients, Non-homogeneous Linear ODE, Method of Variation of Parameters, Euler-Cauchy Equations, Power Series Solutions: Ordinary Points, Legendre Equation, Legendre Polynomials, Frobenius Series Solution, Regular Singular Point, Bessle Equation, Bessel Function, Strum Comparison Theorem, Orthogonality of Bessel Function, Laplace Transform, Inverse Laplace Transform, Existence and Properties of Laplace Transform, Unit step function, Laplace Transform of Derivatives and Integration, Derivative and Integration of Laplace Transform, Laplace Transform of Periodic Functions, Convolution, Applications.
Author(s): S. Ghorai
NA 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
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
Lectures on Differential Equations
This note covers the following topics: First Order Equations and Conservative Systems, Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation and Laplace Transform.
Author(s): Craig A. Tracy
175 Pages
Differential Equations by Paul Selick
This note describes the following topics: First Order Ordinary Differential Equations, Applications and Examples of First Order ode’s, Linear Differential Equations, Second Order Linear Equations, Applications of Second Order Differential Equations, Higher Order Linear Differential Equations, Power Series Solutions to Linear Differential Equations, Linear Systems, Existence and Uniqueness Theorems, Numerical Approximations.
Author(s): Paul Selick
174 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
Harmonic Analysis and Partial Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
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
Partial Differential Equations pdf
This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.
Author(s): David W. Walker
21 Pages
Entropy and Partial Differential Equations(Evans L.C pdf)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Exterior Differential Systems and Euler Lagrange Partial Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
