Which of the following is true for y x that satisfies the differential equation d y d x = x y - 1 + x - y ;…

1. $y\left(1\right)={\mathrm{e}}^{-\frac{1}{2}}-1$
2. $y\left(1\right)=e^{\frac{1}{2}}-e^{-\frac{1}{2}}$
3. $y\left(1\right)=1$
4. $y\left(1\right)=e^{\frac{1}{2}}-1$

Solution

Asked in: JEE Main 2021 (17 Mar Shift 1)

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