EC > GATE 2018 > Linear Systems
Let the input be u and the output be y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:
A
d3y/dt3+a1d2y/dt2+a2dy/dt+a3y=b3u+b2du/dt+b1d2u/dt2 (with initial rest conditions)
B
y(τ)=∫0teα(τ-τ)βu(τ)dτ
C
y=au+b, b≠0
D
y=au

Correct : c

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