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Differential Equations question

2021 · 16 Mar · Shift 2 · Q24

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JEE Main
Mathematics
Differential Equations
2021 · 16 Mar · Shift 2 · Q24

Differential Equations question

2021 · 16 Mar · Shift 2 · Q24

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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

{{dy} \over {dx}}

+ (tan x) y = sin x,

0 \le x \le {\pi \over 3}

, with y(0) = 0, then

y\left( {{\pi \over 4}} \right)

equal to :

A
${1 \over 2}$ loge 2
B
$\left( {{1 \over {2\sqrt 2 }}} \right)$ loge 2
C
loge 2
D
${1 \over 4}$ loge 2

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