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18.03 Differential Equations, Spring 2004

Author(s)
Miller, Haynes R., 1948-; Mattuck, Arthur
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Alternative title
Differential Equations
Terms of use
Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.
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Abstract
Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers and exponentials. Matrix methods for first-order linear systems with constant coefficients. Non-linear autonomous systems; phase plane analysis. Fourier series; Laplace transforms.
Date issued
2004-06
URI
http://hdl.handle.net/1721.1/34888
Department
Massachusetts Institute of Technology. Department of Mathematics
Other identifiers
18.03-Spring2004
local: 18.03
local: IMSCP-MD5-9ca77abee86dc4bbaef9e2d6b157eaa9
Keywords
Ordinary Differential Equations, ODE, modeling physical systems, first-order ODE's, Linear ODE's, second order ODE's, Undetermined coefficients, variation of parameters, Sinusoidal signals, exponential signals, oscillations, damping, resonance, Fourier series, periodic solutions, Delta functions, convolution, Laplace transform methods, Matrix systems, first order linear systems, Non-linear autonomous systems, critical point analysis, phase plane diagrams, constant coefficients, complex numbers, exponentials, eigenvalues, eigenvectors

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