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If \(\frac{d y}{d x}=\frac{x y}{x^2+y^2} ; y(1)=1\); then a value of \(x\) satisfying \(y(x)=e\) is: [JEE Main 2020, 9 J…

Q1

If \(\frac{d y}{d x}=\frac{x y}{x^2+y^2} ; y(1)=1\); then a value of \(x\) satisfying \(y(x)=e\) is:

[JEE Main 2020, 9 Jan (Shift 2)]

a

\(\sqrt{3} e\)

b

\(\frac{e}{\sqrt{2}}\)

c

\(\sqrt{2} e\)

d

\(\frac{1}{2} \sqrt{3} e\)

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