Let y = y(x) be the solution of the differential equation x⁴ dy +… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 23 January, Shift 1Linear Differential Equations

Let $y = y(x)$ be the solution of the differential equation $x^4 \, dy + (4x^3 y + 2\sin x)dx = 0$ , $x > 0$ , $y\left(\frac{\pi}{2}\right) = 0$ . Then $\pi^4 y\left(\frac{\pi}{3}\right)$ is equal to :

A
$92$
B
$81$
C
$72$
D
$64$

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