Jim wah
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How would I take the laplace transform of f(t)= te^tsin^2(t)?
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No the equation is f(t)= te^tsin^2(t)DevacDave said:You mean t et sin(2t)? What's causing you the problem? It is pretty straight-forward application of the definition case.
Kinda, Is there anyway to figure out the transform of sin^2(t) then use the theorem for the e^t and t?DevacDave said:Still, it's a standard case (I have a vague recall of this exact function class being important in telecommunication). Perfectly doable via integration by parts. Is this where you got stuck?
Jim wah said:Kinda, Is there anyway to figure out the transform of sin^2(t) then use the theorem for the e^t and t?
Thank you so much!jack476 said:I don't know of having seen that in a table anywhere, it doesn't look like an elementary form, so what you need to do is compute the transform directly using the Laplace transformation definition.For integrating the sin2(t) in the transformation integral you need to use the half-angle formula: http://www.sosmath.com/trig/douangl/douangl.html