18.03 Differential Equations, Spring 2006

18.03 Differential Equations, Spring 2006

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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 c...

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Bibliographic Details
Main Authors: Miller, Haynes, Mattuck, Arthur
Language:en-US
Published: 2006
Subjects:
Ordinary Differential Equations
ODE
modeling physical systems
first-order ODE's
Linear ODE's
second order ODE's
second order ODE's with constant coefficients
Undetermined coefficients
variation of parameters
Sinusoidal signals
exponential signals
oscillations
damping
resonance
Complex numbers and exponentials
Fourier series
periodic solutions
Delta functions
convolution
Laplace transform methods Matrix systems
first order linear systems
eigenvalues and eigenvectors
Non-linear autonomous systems
critical point analysis
phase plane diagrams
Online Access:http://hdl.handle.net/1721.1/70961

Internet

http://hdl.handle.net/1721.1/70961

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