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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 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}\]is                                   [DCE 2002]

    A)                 4, 2         

    B)                 1, 2

    C)                 2, 2         

    D)                 \[2,\frac{1}{2}\]

    Correct Answer: C

    Solution :

                       Given equation can be written as \[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}=1+{{\left( \frac{dy}{dx} \right)}^{2}}\]                                 Hence order is 2 and degree is 2.


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