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JEE Main & Advanced Mathematics Differential Equations Question Bank Application of differnetial equations

  • question_answer
    Solution of differential equation \[x\,dy-y\,dx=0\] represents [MP PET 1996]

    A)                 Rectangular hyperbola

    B)                 Straight line passing through origin

    C)                 Parabola whose vertex is at origin

    D)                 Circle whose centre is at origin

    Correct Answer: B

    Solution :

                       \[ydx-xdy=0\] Þ \[\frac{1}{x}dx=\frac{1}{y}dy\]         On integrating, \[\log x=\log y+\log c\]         Þ \[\log \frac{x}{y}=\log c\] Þ \[x=cy\]                 It is a straight line passing through origin.


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