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Differential Equations question

2025 · 24 Jan · Shift 2 · Q48

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JEE Main
Mathematics
Differential Equations
2025 · 24 Jan · Shift 2 · Q48

Differential Equations question

2025 · 24 Jan · Shift 2 · Q48

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Let

y=y(x)

be the solution of the differential equation

2 \cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}=\sin 2 x-4 y \sin x, x \in\left(0, \frac{\pi}{2}\right)

. If

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

, then

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

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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