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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 
Multivariate Calculus and Ordinary Differential Equations
This note explains the following topics: Functions of Several Variables, Partial Derivatives and Tangent Planes, Max and Min Problems on Surfaces, Ordinary Differential Equations, Parametrisation of Curves and Line Integrals and MATLAB Guide.
Author(s): The University of Queensland
291 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
Ordinary Differential Equations by Gabriel Nagy
This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.
Author(s): Gabriel Nagy
431 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 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
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
Lectures on Partial Differential Equations
This note explains the following topics: The translation equation, The wave equation, The diffusion equation, The Laplace equation, The Schrodinger equation, Diffusion and equilibrium, Fourier series, Fourier transforms, Gradient and divergence, Spherical harmonics.
Author(s): William G. Faris
123 Pages
Introduction to Partial Differential Equations Lecture Notes
This lecture note introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications.
Author(s): Prof. Jared Speck
NA 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 Harry Bateman
Harry Bateman was a famous English mathematician. In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions. The chapters on partial differential equations have consequently been devoted almost entirely to the discussion of linear equations.
Author(s): Harry Bateman
320 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
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
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
Monograph on quasilinear partial differential equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
