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Maths Question 25 – JEE-MAIN 2026

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Let y=y(x) be the solution of the differential equation (tan⁡x)1/2dy=(sec3⁡x−(tan⁡x)3/2y)dx, 0<x<π2, y(π4)=625. If y(π3)=45α, then α4 equals _______.
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