Let y = y(x) be the solution of the differential equation (x² - 3… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 24 January, Shift 2Separation of Variables

Let $y = y(x)$ be the solution of the differential equation $(x^2 - 3y^2)dx + 3xy \, dy = 0, \quad y(1) = 1.$ Then $6y^2(e)$ is equal to:

A
$3e^2$
B
$e^2$
C
$2e^2$
D
$\frac{3e^2}{2}$

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