Let y=y(x) be the solution of the differential equation xdy/dx-y=… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 2Linear Differential Equations

Let $y=y(x)$ be the solution of the differential equation $x\frac{dy}{dx}-y=x^2\cot x,\quad x\in(0,\pi)$ If $y\!\left(\frac{\pi}{2}\right)=\frac{\pi}{2}$ , then $6y\!\left(\frac{\pi}{6}\right)-8y\!\left(\frac{\pi}{4}\right)$ is equal to:

A
$3\pi$
B
$-3\pi$
C
$\pi$
D
$-\pi$

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