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Differential Equations

JEE Main 2023 (Online) 30th January Morning Shift

MCQ+4 / -12023

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

\(\frac{\mathrm{d} y}{\mathrm{~d} x}-\frac{3 x^{5} \tan ^{-1}\left(x^{3}\right)}{\left(1+x^{6}\right)^{3 / 2}} y=2 x \exp \left\{\frac{x^{3}-\tan ^{-1} x^{3}}{\sqrt{\left(1+x^{6}\right)}}\right\} \text { pass through the origin. Then } y(1) \text { is equal to : }\)

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