GATE Electronics and Communications (EC) 2018 Solved Paper

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Question : 14 of 65

Marks: +1, -0

Let the input be u and the output is y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

$\;{d^{3}y}/{dt^{3}} + a_{1}\;{d^{2}y}/{dt^{2}} + a_{2}\;{dy}/{dt} + a_{3}y = b_{3}u + b_{2}\;{du}/{dt} + b_{1}\;{d^{2}u}/{dt^{2}}$ (with initial rest conditions)
$y (t) = ∫ ↙{0}↖{t}⁡e^{α (t−τ ) }β u (τ ) dτ$
y = au + b, b ≠ 0
y = au

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