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JEE Main & Advanced JEE Main Solved Paper-2017

  • question_answer
    If \[(2+\sin x)\frac{dy}{dx}+(y+1)\cos x=0\]and \[y(0)=1,\]then \[y\left( \frac{\pi }{2} \right)\]is equal to:-     JEE Main Solved Paper-2017

    A)  \[\frac{4}{3}\]                                  

    B)  \[\frac{1}{3}\]

    C)  \[-\frac{2}{3}\]                                

    D)  \[-\frac{1}{3}\]

    Correct Answer: B

    Solution :

     \[(2+\sin x)\frac{dy}{dx}+(y+1)\cos x=0\]                 \[\frac{d}{dx}(2+\sin x)(y+1)=0\]                 \[x=0,y=1\Rightarrow c=4\]                 \[y+1=\frac{4}{2+\sin x}\]                 \[y\left( \frac{\pi }{2} \right)=\frac{4}{3}-1=\frac{1}{3}\]


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