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The output of a linear system to a unit step u(t) is t2 e– 2t The system function H(s) is—
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2 s2(s + 2) -
2 (s + 2)2 -
2 (s + 2)3 -
2s (s + 2)3
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Correct Option: C
We know that
| L{tn} → | sn + 1 |
| At n = 2 L{t2} → | = | |||
| s2 + 1 | s3 |
| and L{e– 2t t 2} → | (s + 2)3 |
By applying shifting property.
Hence, alternative (C) is the correct answer.
