The method I am using for the impulse, h(t), is finding my H(s), and taking the inverse laplace. So assuming I am correct on my work there, I get to the convolution part and I can not seem to get it to work correctly. I think my error is the step where I actually integrate the convolution. From what I understand, we only care about the function from 0 to t, because the function after that just goes to zero since there is no overlap in the responses. I think I am messing up from the multiplication of [δ(τ)-10,000e^(-10000τ)]δ(t-τ).
The last part of the problem I believe is correct, that is what i am using my convolution to check towards. If anyone could help it would be greatly appreciated. I believe it is something very elementary I am missing. Thank you.
The last part of the problem I believe is correct, that is what i am using my convolution to check towards. If anyone could help it would be greatly appreciated. I believe it is something very elementary I am missing. Thank you.
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