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find the laplace transform of sin2tcos2t?
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u mean derivative
no it is the laplace transform.
master level math
university
I am not particularly familiar with Laplace Transforms, but I am curious if it would be helpful to simplify sin(2t)cos(2t) using a trig identity: \(\sin(2x) = 2 \sin x \cos x\) \(\sin 2t \cos 2t = \frac{1}{2}\left( 2 \sin 2t \cos 2t \right) = \frac{1}{2} \sin (4t) \) At least, it tends to be easier to play with a single sine than a product of two trig functions. :)
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So , 1/2 w/s^2 +w^2 where w = 4 -> 2/(s^2+16)
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