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JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of differential equations

  • question_answer
    The order and degree of the differential equation \[\rho =\frac{{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3/2}}}{{{d}^{2}}y/d{{x}^{2}}}\] are respectively [MP PET 2001; UPSEAT 2002]

    A)                 2, 2

    B)                 2, 3

    C)                 2, 1

    D)                 None of these

    Correct Answer: A

    Solution :

                       \[\rho .\frac{{{d}^{2}}y}{d{{x}^{2}}}={{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3/2}}\]Þ \[{{\left( \rho .\frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}={{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3}}\]                                 order = 2, degree = 2.


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