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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
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 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
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 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 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
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
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
Monograph on quasilinear partial differential equations (EJDE)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA 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
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
