A system with impulse response g(t)=t.exp(-3t) is excited by a signal u(t)=sin(2t). Which convolution integral correctly describes the resulting output behaviour?

Question

confusionist · Answer

Now, I know the answer, I just have no idea how to get it.

anonymous · Answer

the area under a force vs time graph represents impulse....so i don't know if that helps but i think you have to use a certain formula for obtaining this maybe use transfer function

anonymous · Answer

here is a better link for you... http://tutorial.math.lamar.edu/Classes/DE/ConvolutionIntegrals.aspx

confusionist · Answer

Ooh, okay. I was given the answer and asked to summarize how to get it. FYI, the answer is Int0t[sin(2x)(t-x).exp(-3{t-x})]dx.
Thanks for the link. Figuring it out for the most part myself is much better than an obvious answer I would just write on paper. Thank you.