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Saturday, February 20, 2010

Fourier Analysis and Linear ODE's

Fourier Anylisis (where omega, w = 2pi/T)

Specific Fourier Waveforms

0th and 1st order differential equations

2nd order differential equations

Note - This tailor approximation method can be used for simplifying things for obtaining approximate numerical solutions for given input functions

nth order linear ODE's and transfer functions

Rules for Laplace Transforms

Laplace Transforms for specific functions

Special differential equation forms

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- Sources
Pictures 1,3,4,6 are my personal notes
Pictures 2,5,9 taken from Wolfram's Mathword
Pictures 7,8 taken from Laplace Transform Tables