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Differential Equations question

2022 · 26 Jul · Shift 1 · Q33

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JEE Main
Mathematics
Differential Equations
2022 · 26 Jul · Shift 1 · Q33

Differential Equations question

2022 · 26 Jul · Shift 1 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

{{dy} \over {dx}} + 2y\tan x = \sin x,\,0 \lt x \lt {\pi \over 2}

and

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

, then the maximum value of

y(x)

is :

A
${1 \over 8}$
B
${3 \over 4}$
C
${1 \over 4}$
D
${3 \over 8}$

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