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1. Consider a system with Ystep (t) = (1-e-2t)u(t). Employ Mathcad and the two

formulas derived in class (shown below) to determine the approximate and exact zero-

state responses of a LTI syste, to the following inputs, f(t). Employ A= 0.2 and repeat

for A= 0.02

Formulas:

C.

00

lu

n=1

2

sin(t)

e

17

2

W

y(t) = f(0)ystep (t) + [[f(na) - f ((n − 1)A)]ystep(t-na)

y(t) = f(0)Ystep (t) + [df(r) Ystep(t = 7)dr

Fig: 1