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

  • question_answer
    Order and degree of differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{\left\{ y+{{\left( \frac{dy}{dx} \right)}^{2}} \right\}}^{1/4}}\]are [MP PET 1996]

    A)                 4 and 2   

    B)                 1 and 2

    C)                 1 and 4   

    D)                 2 and 4

    Correct Answer: D

    Solution :

                       Making fourth power both the sides, we get the differential equation \[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{4}}=y+{{\left( \frac{dy}{dx} \right)}^{2}}\]                                 Obviously, order is 2 and degree is 4.


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