JEE Main 2025 Mathematics question

MathematicsDifferential EquationJEE Main 2025

Let y = y(x) be the solution of the differential equation , . If , then is equal to .

Answer: 1

Solution

y = cos x - 2cos²x, satisfying the linear ODE with I.F. = sec²x. Computing y'(π/4)+y(π/4) = 1.

Question ID VK-002065