JEE Main 2026 Mathematics question
Let y = y(x) be the solution curve of the differential equation (1 + sin x) + (y + 1)cos x = 0, y(0) = 0. If the curve y = y(x) passes through the point , then a value of α is:
Answer: (D)
Solution
d[(y + 1)(1 + sin x)] = 0, so (y + 1)(1 + sin x) = 1 (from y(0) = 0). At y = −1/2: 1 + sin α = 2 ⇒ sin α = 1 ⇒ α = π/2.