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JEE Main & Advanced Mathematics Differential Equations Question Bank Variable Separable type differential equations

  • question_answer
    The solution of differential equation \[\frac{dy}{dx}+{{\sin }^{2}}y=0\] is [MP PET 1994]

    A)                 \[y+2\cos y=c\]    

    B)                 \[y-2\sin y=c\]

    C)                 \[x=\cot y+c\]       

    D)                 \[y=\cot x+c\]

    Correct Answer: C

    Solution :

                       \[\frac{dy}{dx}+{{\sin }^{2}}y=0\] Þ \[-\frac{dy}{{{\sin }^{2}}y}=dx\].                 On integrating, we get \[x=\cot y+c\].


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