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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