Mathematics Books Differential Equations Books

A First Course in Elementary Differential Equations

A First Course in Elementary Differential Equations

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):

s213 Pages
Similar Books
Differential Equations by MIT

Differential Equations by MIT

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.

sNA Pages
Introduction to Differential Equations by Andrew D. Lewis

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.

s641 Pages
Ordinary Differential Equation by Alexander Grigorian

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.

s133 Pages
Differential Equations for Engineers

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.

s149 Pages
Introduction   to Partial Differential Equations Lecture Notes

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.

sNA Pages
Lectures on Differential Equations

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.

s175 Pages
Elementary Differential Equations With Boundary Value Problems

Elementary Differential Equations With Boundary Value Problems

This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value Problems for Second Order Linear Equations.

s806 Pages
Introduction to Differential Equations

Introduction to Differential Equations

This book covers the following topics: 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.

s128 Pages
Mathematical Methods For Partial Differential Equations

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.

sNA Pages
Harmonic Analysis and Partial Differential Equations

Harmonic Analysis and Partial Differential Equations

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Integral And Differential Equations

Integral And Differential Equations

This note covers the following topics: Integral Equations, Ordinary Differential Equations, Partial Differential Equations.

sNA Pages
Linear Differential Equations

Linear Differential Equations

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.

s26 Pages
Monograph on quasilinear partial differential equations (EJDE)

Monograph on quasilinear partial differential equations (EJDE)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Analysis Tools with Applications and PDE Notes

Analysis Tools with Applications and PDE Notes

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages

Advertisement