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Let \(y=y(x)\) be the solution of the differential equation. \(x^3 d y+(x y-1) d x=0, x>0, y\left(\frac{1}{2}\right)=…

Q1

Let \(y=y(x)\) be the solution of the differential equation. \(x^3 d y+(x y-1) d x=0, x>0, y\left(\frac{1}{2}\right)=3-e\). Then \(y(1)\) is equal to

[JEE Main 2023, 24 Jan (Shift 1)]

a

1

b

e

c

2 - e

d

3

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