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Differential Equations question

2023 · 31 Jan · Shift 2 · Q36

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JEE Main
Mathematics
Differential Equations
2023 · 31 Jan · Shift 2 · Q36

Differential Equations question

2023 · 31 Jan · Shift 2 · Q36

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution of the differential equation

\left(3 y^{2}-5 x^{2}\right) y \mathrm{~d} x+2 x\left(x^{2}-y^{2}\right) \mathrm{d} y=0

such that

y(1)=1

. Then

\left|(y(2))^{3}-12 y(2)\right|

is equal to :

A
64
B
$16 \sqrt{2}$
C
32
D
$32 \sqrt{2}$

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