🛠️ JEE➗ Maths

If \(y=y(x)\) is the solution of the differential equation \(e^y\left(\frac{d y}{d x}-1\right)=e^x\) such that \(y(0)=0\…

Q1

If \(y=y(x)\) is the solution of the differential equation \(e^y\left(\frac{d y}{d x}-1\right)=e^x\) such that \(y(0)=0\), then \(y(1)\) is equal to

[JEE Main 2020, 7 Jan (Shift 1)]

a

\(2 e\)

b

\(1+\log _e 2\)

c

\(\log _e 2\)

d

\(2+\log _e 2\)

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