JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

Let the solution y = y(x) of the differential equation satisfy y(π) = 1. Then is equal to .

Answer: 7

Solution

y = −1 − 2 sin x − 2 cos x + with C = 0 from y(π) = 1; y(π/2) = −3, so the value is 7.

Question ID VK-011480