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Let \(y = y(x)\) be the solution of the differential equation \((3{y}^{2}–5{x}^{2})ydx+2x({x}^{2}–{y}^{2})dy=0\) such th…

Q1

Let \(y = y(x)\) be the solution of the differential equation \((3{y}^{2}–5{x}^{2})ydx+2x({x}^{2}–{y}^{2})dy=0\) such that \(y(1) = 1\). then \(\left|(y(2))^3-12 y(2)\right|\) is equal to:

[JEE Main 2023, 31 Jan (Shift 2)]

a

\(32\sqrt{2}\)

b

\(64\)

c

\(16\sqrt{2}\)

d

\(32\)

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