Ordinary Differential Equations Sheldon

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

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

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.

Author(s): Prof. Haynes Miller, Prof. Arthur Mattuck, Massachusetts Institute of Technology

NA 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

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

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 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