Question Id : 14119 |
Context : JEE Main 2024 (27 January Morning Shift)
Let $x=x(t)$ and $y=y(t)$ be solutions of the differential equations
$\dfrac{dx}{dt}+ax=0$ and $\dfrac{dy}{dt}+by=0$ respectively, $a,b\in\mathbb{R}$.
Given that $x(0)=2$, $y(0)=1$ and $3y(1)=2x(1)$, the value of $t$ for which $x(t)=y(t)$ is:
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