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Differential Equations
 
Author: Arthur Mattuck, Haynes Miller
Publisher: MIT OpenCourseWare


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Differential Equations

Differential Equations

by Arthur Mattuck



Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.



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  • LearnOutLoud.com Product ID: D025679

 Science  Mathematics
  Science  Physics

 

This Author: Arthur Mattuck
This Publisher: MIT OpenCourseWare
 
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