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Let y = y(x) be the solution of the differential equation \(\left({\mathrm{x}}^{2}-3{\mathrm{y}}^{2}\right)\mathrm{dx}+3…

Q1

Let y = y(x) be the solution of the differential equation \(\left({\mathrm{x}}^{2}-3{\mathrm{y}}^{2}\right)\mathrm{dx}+3\mathrm{xydy}=0,\mathrm{y}(1)=1\). Then \(6{\mathrm{y}}^{2}(\mathrm{e})\) is equal to

a

\(3{\mathrm{e}}^{2}\)

b

\({\mathrm{e}}^{2}\)

c

\(2{\mathrm{e}}^{2}\)

d

\(\frac{3{\mathrm{e}}^{2}}{2}\)

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