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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 45

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

    A) parabola whose vertex is at origin

    B) Circle whose centre is at origin

    C) A rectangular hyperbola

    D) Straight line passing through origin

    Correct Answer: D

    Solution :

    [d] We have \[x\,dy=y\,dx\] \[\frac{dy}{y}=\frac{\,dx}{x}\] integrate both side, we get \[\log \text{ }y=\log x+\log C\] \[\log \text{ }y=\log xC\] \[y=xC\], straight line passes through (0, 0)


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