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Differential Equations question

2019 · 9 Apr · Shift 2 · Q25

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JEE Main
Mathematics
Differential Equations
2019 · 9 Apr · Shift 2 · Q25

Differential Equations question

2019 · 9 Apr · Shift 2 · Q25

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

\cos x{{dy} \over {dx}} - y\sin x = 6x

, (0 < x <

{\pi \over 2}

) and

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

= 0 then

y\left( {{\pi \over 6}} \right)

is equal to :-

A
$- {{{\pi ^2}} \over {2 }}$
B
$- {{{\pi ^2}} \over {4\sqrt 3 }}$
C
${{{\pi ^2}} \over {2\sqrt 3 }}$
D
$- {{{\pi ^2}} \over {2\sqrt 3 }}$

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