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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
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 For Engineers
This note describes the following topics: First Order Differential Equations, N-th Order Differential Equations, Linear Differential Equations, Laplace Transforms, Inverse Laplace Transform, Systems Of Linear Differential Equations, Series Solution Of Linear Differential Equations.
Author(s): Jian-jun Xu
147 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 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
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
Harmonic Analysis and Partial Differential Equations
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Author(s): NA
NA Pages
Difference Equations to Differential Equations
This book covers the following topics: Sequences, limits, and difference equations, Functions and their properties, Best affine approximations, Integration, Polynomial approximations and Taylor series, transcendental functions, The complex plane and Differential equations.
Author(s): Dan Sloughter, Furman University
NA 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
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
These notes are a concise understanding-based presentation of the basic linear-operator aspects of solving linear differential equations. Topics covered includes: Operators and Linear Combinations, Homogeneous linear equations, Complex Exponentials and Real Homogeneous Linear Equations, Non-homogeneous linear equations and Systems of Linear Differential Equations.
Author(s): Jerome Dancis
43 Pages
Analysis Tools with Applications and PDE Notes
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Analytic differential equations
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Author(s): NA
NA PagesAdvertisement
