JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

If is the solution of the differential equation and , then α² is equal to

Answer: (C)

Solution

Rewrite as cos(y/x)[x dy/dx − y]/x² = 1/x. With t = y/x, dt/dx = (x dy/dx − y)/x², so cos t dt =

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Question ID VK-016805