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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 
Lecture Notes On Differential Equation by Dr.BhavinPatel
This note covers the following topics: Introduction to Differential Equations, Differential Equations of First Order and First Degree, Differential Equation of First order and Higher degree and Higher Order Linear Differential Equation.
Author(s): Dr.BhavinPatel, Gujarat University
51 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
This book explains the following topics: IFirst-order differential equations, Direction fields, existence and uniqueness of solutions, Numerical methods, Linear equations, models, Complex numbers, roots of unity, Second-order linear equations, Modes and the characteristic polynomial, Good vibrations, damping conditions, Exponential response formula, spring drive, Complex gain, dashpot drive, Operators, undetermined coefficients, resonance, Frequency response, LTI systems, superposition, RLC circuits, Engineering applications, Fourier series, Operations on fourier series , Periodic solutions; resonance, Step functions and delta functions, Step response, impulse response, Convolution, First order systems, Linear systems and matrice, Eigenvalues, eigenvectors, etc.
Author(s): Prof. Haynes Miller, Prof. Arthur Mattuck, Massachusetts Institute of Technology
NA 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
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
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
Notes on Partial Differential Equations
This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.
Author(s): John K. Hunter
224 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
This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all ; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples.
Author(s): James Morris
264 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
Second Order Linear Differential Equations
This note contains problems and their solutions related to Second-Order Linear Differential Equations.
Author(s): NA
10 Pages
Entropy and Partial Differential Equations
This note covers the following topics: Entropy and equilibrium, Entropy and irreversibility, Continuum thermodynamics, Elliptic and parabolic equations, Conservation laws and kinetic equations, Hamilton–Jacobi and related equations, Entropy and uncertainty, Probability and differential equations.
Author(s): Lawrence C. Evans
213 Pages
An Introduction to Stochastic Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA 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
Partial Differential Equations of Mathematical Physics
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 Pages