JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

Let y = y(x) be the solution of the differential equation , y(1) = 0. Then y(0) is

Answer: (B)

Solution

The integrating factor is ⁻¹: y ⁻¹ = ⁻¹/2 + C, and y(1) = 0 gives C = −/2. At x = 0, y = (1 − /2.

Question ID VK-011744