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Differential Equations question

2017 · Shift 0 · Q37

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PYQ Library
JEE Main
Mathematics
Differential Equations
2017 · Shift 0 · Q37

Differential Equations question

2017 · Shift 0 · Q37

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

\left( {2 + \sin x} \right){{dy} \over {dx}} + \left( {y + 1} \right)\cos x = 0

and y(0) = 1, then

y\left( {{\pi \over 2}} \right)

is equal to :

A
$- {2 \over 3}$
B
$- {1 \over 3}$
C
${4 \over 3}$
D
${1 \over 3}$

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