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CalculusDifferential EquationsOnly One CorrectEasy

Q3.Let

y:(-\infty,\infty)\rightarrow(0,\infty)

be the solution of the differential equation

\frac{dy}{dx}=\frac{e^{5x}y^{3}+y^{3}}{e^{x}+e^{x}y^{4}}

satisfying

y(0)=\frac{1}{\sqrt{2}}

. Then the value of

y(\log_{e}2)

citeJEE Advanced · 2026 · Paper 2

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