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If \( y=y(x) \) is the solution of the differential equation \( \frac{d y}{d x}+2 y \tan x=\sin x, y\left(\frac{\pi}{3}\…

Q1

If \( y=y(x) \) is the solution of the differential equation \( \frac{d y}{d x}+2 y \tan x=\sin x, y\left(\frac{\pi}{3}\right)=0 \), then the maximum value of the function \( y(x) \) over \( R \) is equal to:

[JEE Main 2021, 16 Mar (Shift 1)]

a

\(8\)

b

\(\frac{1}{2}\)

c

\(-\frac{15}{4}\)

d

\(\frac{1}{8}\)

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