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Question

If ${{dy} \over {dx}} + 2y\tan x = \sin x,\,0 < x < {\pi \over 2}$ and $y\left( {{\pi \over 3}} \right) = 0$, then the maximum value of $y(x)$ is :

${1 \over 8}$
${3 \over 4}$
${1 \over 4}$
${3 \over 8}$

Solution

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