If the solution curve of the differential equation \(\left(2 x-10 y^3\right)\) \(d y+y d x=0\), passes through the points \((0,1)\) and \((2, \beta)\), then \(\beta\) is a root of the equation:

[JEE Main 2021, 27 Aug (Shift 2)]

Question

If the solution curve of the differential equation \(\left(2 x-10 y^3\right)\) \(d y+y d x=0\), passes through the points \((0,1)\) and \((2, \beta)\), then \(\beta\) is a root of the equation:

[JEE Main 2021, 27 Aug (Shift 2)]

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If the solution curve of the differential equation \(\left(2 x-10 y^3\right)\) \(d y+y d x=0\), passes through the point…

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