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Differential Equations question

2021 · 16 Mar · Shift 1 · Q36

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JEE Main
Mathematics
Differential Equations
2021 · 16 Mar · Shift 1 · Q36

Differential Equations question

2021 · 16 Mar · Shift 1 · Q36

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If y = y(x) is the solution of the differential equation,

{{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3}} \right) = 0

, then the maximum value of the function y(x) over R is equal to:

A
${1 \over 8}$
B
8
C
$-{15 \over 4}$
D
${1 \over 2}$

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