Let y = y(x) be the solution of the differential equation (3y² – 5x²)y dx + 2x(x² – y²)dy = 0 such that y(1) = 1. Then |y(2))³ – 12y(2)| is equal to

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

Question

Let y = y(x) be the solution of the differential equation (3y 2 – 5x 2 )y dx + 2x(x 2 – y 2 )dy = 0 such that y(1) = 1. Then |y(2)) 3 – 12y(2)| is equal to [JEE Main 2023, 31 Jan (Shift 2)]

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Let y = y(x) be the solution of the differential equation (3y 2 – 5x 2 )y dx + 2x(x 2 – y 2 )dy = 0 such that y(1) = 1. …

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