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Official PYQ · 2014

GATE EC 2014 Set 1 Q45 — Differential Equations

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A system is described by the following differential equation, where u(t)u(t) is the input to the system and y(t)y(t) is the output of the system.

y(t)+5y(t)=u(t)y(t) + 5y(t) = u(t)

When y(0)=1y(0) = 1 and u(t)u(t) is a unit step function, y(t)y(t) is

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Answer: A

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