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JEE MAIN 2023
02-04-2023-S2
Question
Let $y=y(t)$ be a solution of the differential equation $\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}$, Where, $\alpha>0, \beta>0$ and $\gamma>0$. Then $\lim _{t \rightarrow \infty} y(t)$
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A
is 0
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does not exist
C
is 1
D
is -1
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