Mathematics · 2021
JEE Main · 17 March 2021, Shift 1 · Q72
Which of the following is true for y(x) that satisfies the differential equation (d y)/(d x)=x y-1+x-y; y(0)=0:
Which of the following is true for $\displaystyle y(x)$ that satisfies the differential equation
$$\frac{\mathrm{d} y}{\mathrm{~d} x}=x y-1+x-y ; y(0)=0:
$$
Official answer
(1)
$\displaystyle y(1)=\mathrm{e}^{-\frac{1}{2}}-1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.