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Differential Equations

JEE Main 2026 (Online) 23rd January Morning Shift

MCQ+4 / -12026

Let $y=y(x)$ be the solution of the differential equation $x^4 \mathrm{~d} y+\left(4 x^3 y+2 \sin x\right) \mathrm{d} x=0, x>0, y\left(\frac{\pi}{2}\right)=0$.


Then $\pi^4 y\left(\frac{\pi}{3}\right)$ is equal to :


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