🛠️ JEE➗ Maths

Let \(y=y(x)\) be the solution of the differential equation \(\frac{dy}{dx}=1+x{e}^{y-x},-\sqrt{2}

Q1

Let \(y=y(x)\) be the solution of the differential equation \(\frac{dy}{dx}=1+x{e}^{y-x},-\sqrt{2}

a

\((1+\sqrt{3})-{\log }_{\mathrm{e}}(\sqrt{3}-1)\)

b

\((2+\sqrt{3})+{\log }_{\mathrm{e}}2\)

c

\((1-\sqrt{3})-{\log }_{\mathrm{e}}(\sqrt{3}-1)\)

d

\((2-\sqrt{3})-{\log }_{e}2\)

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