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

Let \(y = y(x)\) be the solution of the differential equation (3y² – 5x²)ydx + 2x (x² – y²) dy = 0 such that \(y(1) = 1\). then \(∣\left(y\left(2\right){)}^{3}-12\mathrm{y}(2)∣\right.\) is equal to:

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