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A system is represented by
dy + 2y = 4t u(t) dt
The ramp component in the forced response will be
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- t u(t)
- 2t u (t)
- 3t u (t)
- 4t u (t)
- t u(t)
Correct Option: B
| Given : | + 2y = 4t u(t) | |
| dt |
Laplace transofrming is
| sY(s) + 2Y(s) = | ||
| s2 |
| Y(s)[s + 2] = | ||
| s2 |
| ⇒ Y(s) = | = - | + | + | |||||
| s2(s + 2) | s | s2 | (s + 2) |
⇒ y(t) = – u(t) + 2t u(t) + e – 2t
The ramp component in the forced response is 2t u(t)
