Let $y = y(x)$ be the solution of the differential equation $\left(\mathrm{x}-{\mathrm{x}}^{3}\right)\mathrm{dy}=\left(\mathrm{y}+{\mathrm{yx}}^{2}-3{\mathrm{x}}^{4}\right)\mathrm{dx},\mathrm{x}2$. If $y(3) = 3$ then $y(4)$ is equal to [JEE Main 2021, 27 Jul (Shift 2)]

Question

Let $y = y(x)$ be the solution of the differential equation $\left(\mathrm{x}-{\mathrm{x}}^{3}\right)\mathrm{dy}=\left(\mathrm{y}+{\mathrm{yx}}^{2}-3{\mathrm{x}}^{4}\right)\mathrm{dx},\mathrm{x}>2$. If $y(3) = 3$ then $y(4)$ is equal to [JEE Main 2021, 27 Jul (Shift 2)]

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Let \(y = y(x)\) be the solution of the differential equation \(\left(\mathrm{x}-{\mathrm{x}}^{3}\right)\mathrm{dy}=\lef…

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