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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
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
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
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 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 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
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
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
This note covers the following topics: Derivatives, differential equations, partial differential equations, distributions, Cauchy-Kowalewsky theorem, heat equation, Laplace equation, Schrodinger equation, wave equation, Cauchy-Riemann equations.
Author(s): L. Boutet de Monvel
26 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
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
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
Analytic 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
