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Analytically solve for the response y[t] of the system h[t]=2e10t for a pulse input x[t] of width 1, 10 or 100 msec with its amplitude

Analytically solve for the response y[t] of the system h[t]=2e10t for a pulse input x[t] of width 1, 10 or 100 msec with its amplitude such that its width times its amplitude is equal to .1

a.) For each pulse, solve assuming it is an ideal impulse (i.e. use convolution integral)

b.) solve not making this assumption (i.e. use convolution integral).

c. ) Plot your results Matlab and also calculate the response using the conv command in Matlab.

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