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Differential Equations question

2023 · 24 Jan · Shift 2 · Q30

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JEE Main
Mathematics
Differential Equations
2023 · 24 Jan · Shift 2 · Q30

Differential Equations question

2023 · 24 Jan · Shift 2 · Q30

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution of the differential equation

(x^2-3y^2)dx+3xy~dy=0,y(1)=1

. Then

6y^2(e)

is equal to

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

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