# Electrical Engineering - EEE

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GATE 2016   EE   Question No. 114
Consider a causal LTI system characterized by differential equation $\frac{dy\left(t\right)}{dt}+\frac{1}{6}y\left(t\right)=3x\left(t\right)$. The response of the system to the input $x\left(t\right)=3{e}^{-\frac{t}{3}}u\left(t\right)$, where u(t) denotes the unit step function, is