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Differential Equations

JEE Main 2025 (Online) 7th April Morning Shift

MCQ+4 / -12025

Let $y=y(x)$ be the solution curve of the differential equation


$x\left(x^2+e^x\right) d y+\left(\mathrm{e}^x(x-2) y-x^3\right) \mathrm{d} x=0, x>0$, passing through the point $(1,0)$. Then $y(2)$ is equal to :

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