Question

Convolution Integrals. For part A the solution I got was t*exp(z*t) and for part B the solution I got was (exp(z2*t) - exp(z1*t))/(z2-z1). I need help with the third part of the question calculating (f * f)(t) without computing any integrals.

f(t -s)g(s)ds by hand for (a) and (b) below Calculate (a) f(t) g(t) = et where z is a constant e21t and g(t) e22t where z1 an

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a) Part cas solution -given e ZEt-s). Z ds = tezt Part (6) Solution eZ2t - pet zilt-s 25 ds = Zz-Z e cosut if to Now f(t) = o[Fe(Compotamo j 17 L. Ś -jwct-s) iw e os + . 4 Giwd-(w) + 1 sa punto, jos) + *Zlatio judes = 4 straint, sluts + de alarmante

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