GATE EC 2018 Question 14: Identify the Non-Linear System | Solved Problem

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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)=∫₀^te^α(τ-τ)βu(τ)dτ

C

y=au+b, b≠0

D

y=au

Correct : c

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