Question Id : 17966 |
Context : JEE Main 2026 (22 January Evening Shift)
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:
🎥 Video solution / Text Solution of this question is given below:
After solving DE and applying limits → 2 sinα = 2(√2 −1)