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 :

Question

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 :

$ - {2 \over 3}$

$ - {1 \over 3}$

${4 \over 3}$

${1 \over 3}$

Solution

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