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The unit step response of a system with the transfer function
G(s) = 1 - 2s 1 + s
is given by which one of the following waveforms?
Correct Option: A
Y(s) = G(s) × U(s)
∴ Y(s) = | . | ||
(1 + s) | s |
Now using partial fraction concept
∴ Y(s) = | + | ||
(s) | (s + 1) |
A = 1, B = -3
∴ y(t) = u(t) – 3e–t u(t)
∴ y(t) = (1 – 3e – t) u(t)