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

Q1

\(\text{ Let }y=y(x)\text{ be the solution of the differential equation }\)

\(\frac{dy}{dx}=1+x{e}^{y-x},-\sqrt{2}

[JEE Main 2021, 25 Jul (Shift 1)]

a

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

b

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

c

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

d

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

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