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Previous Year Question (PYQs)



If y = y(x) satisfies the differential equation 16(√x + 9√x)(4 + √9 + √x) cos y dy = (1 + 2 sin y) dx, x>0 and y(256)=π/2, y(49)=α, then 2 sin α is equal to:





Solution

After solving DE and applying limits → 2 sinα = 2(√2 −1)


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