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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    The order and the degree of the differential equation\[\sqrt{y+\frac{{{d}^{2}}y}{d{{x}^{2}}}}=x+{{\left( \frac{dy}{dx} \right)}^{3/2}}\]are:

    A)  2, 2                                       

    B)  2, 1

    C)  1, 2                       

    D)         2, 3

    E)  3, 2

    Correct Answer: A

    Solution :

    The given differential equation can be rewritten as \[y+\frac{{{d}^{2}}y}{d{{x}^{2}}}={{\left[ x+{{\left( \frac{dy}{dx} \right)}^{3/2}} \right]}^{2}}\] \[\therefore \]Order and degree of the given differential equation is 2 and 2 respectively.


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