JEE Main 2026 Mathematics question

MathematicsDifferential EquationJEE Main 2026

Let y = y(x) be the solution of the differential equation , x ∈ (0, 1), . Then y(1/2) equals:

Answer: (A)

Solution

The equation is dy/dx+y/x=cos⁻¹x/√(1−x²), with integrating factor x: d(xy)=x cos⁻¹x/√(1−x²) dx. With θ=cos⁻¹x this

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Question ID VK-015726