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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 \[\sqrt{\frac{dy}{dx}}-4\frac{dy}{dx}-7x=0\]are                                   [MP PET 1993]

    A)                 1 and 1/2

    B)                 2 and 1

    C)                 1 and 1   

    D)                 1 and 2

    Correct Answer: D

    Solution :

                       Given equation \[\sqrt{\frac{dy}{dx}}-4.\frac{dy}{dx}-7x=0\]                    Þ \[\frac{dy}{dx}=16{{\left( \frac{dy}{dx} \right)}^{2}}+49{{x}^{2}}+56x\frac{dy}{dx}\]                 Obviously, it is first order and second degree differential equation .


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