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Laplace transform sqaured differential 
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#1
Feb2413, 03:06 PM

P: 2

Hi
I was wondering what the Laplace transform of a squared differential is. With that I mean the Laplace of (y' )^2 (this being y'*y' and not the second order derivative). So for example velocity squared. 


#2
Feb2413, 06:16 PM

P: 2,251

there is a lot of similarity between the Fourier Transform and the Laplace Transform. the F.T. is really just the L.T. with the real part of [itex] s = \sigma + i \omega [/itex] set to zero. try to answer the question regarding the F.T. and see if you can generalize.



#3
Feb2513, 07:36 PM

P: 152

I don't know the exact form off the top of my head, but it will be an ugly convolution of the form:
integral (s^2 F(a)F(as) da) 


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