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

  • question_answer
    The general solution of \[{{x}^{2}}\frac{dy}{dx}=2\] is             [AISSE 1984]

    A)                 \[y=c+\frac{2}{x}\]             

    B)                 \[y=c-\frac{2}{x}\]

    C)                 \[y=2cx\]               

    D)                 \[y=c-\frac{3}{{{x}^{2}}}\]

    Correct Answer: B

    Solution :

                    \[\frac{dy}{dx}=\frac{2}{{{x}^{2}}}\] Þ \[dy=\frac{2}{{{x}^{2}}}dx\], Now integrate it.


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