Let x=x(t) and y=y(t) be solutions of dx/dt +ax=0 and dy/dt +by=0… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Linear Differential Equations

Let $x=x(t)$ and $y=y(t)$ be solutions of $\frac{dx}{dt} +ax=0$ and $\frac{dy}{dt} +by=0$ respectively. Given $x(0)=2$ , $y(0)=1$ , and $3y(1)=2x(1)$ , find $t$ for which $x(t)=y(t)$ .

A
$\log_{2/3} 2$
B
$\log_{4} 3$
C
$\log_{3} 4$
D
$\log_{4/3} 2$

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