NVAMediumJEE Main 2026 · 23 January, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2026 · 23 January, Shift 2

If the solution curve y=f(x)y = f(x) of the differential equation (x24)y2xy+2x(4x2)2=0,x>2(x^2 - 4) y' - 2xy + 2x(4 - x^2)^2 = 0, x > 2, passes through the point (3,15)(3, 15), then the local maximum value of ff is _____

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