Let y = y(x) be the solution of the differential equation 2 cos x dy/dx = sin 2x - 4y sin x, x (0, (π)/2). If y((π)/3) = 0, then y'((π)/4) + y((π)/4) is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q198

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

y = y(x)

be the solution of the differential equation

2 \cos x \frac{dy}{dx} = \sin 2x - 4y \sin x

x \in \left(0, \frac{\pi}{2}\right)

. If

y\left(\frac{\pi}{3}\right) = 0

, then

y'\left(\frac{\pi}{4}\right) + y\left(\frac{\pi}{4}\right)

is equal to:

Your answerInteger or decimal