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Let \(y=y(x)\) be the solution of the differential equation \({e}^{x}\sqrt{1-{y}^{2}}dx+\left(\frac{y}{x}\right)dy=0,y(1…

Q1

Let \(y=y(x)\) be the solution of the differential equation \({e}^{x}\sqrt{1-{y}^{2}}dx+\left(\frac{y}{x}\right)dy=0,y(1)=-1\) Then the value of \((y(3){)}^{2}\) is equal to:

[JEE Main 2021, 20 Jul (Shift 1)]

a

\(1+4{e}^{6}\)

b

\(1-4{e}^{3}\)

c

\(1+4{e}^{3}\)

d

\(1-4{e}^{6}\)

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