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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 \[x\text{ }{{\left( \frac{dy}{dx} \right)}^{3}}+2\,{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}+3y+x=0\] are respectively [MP PET 2004]

    A)                 3, 2         

    B)                 2, 1

    C)                 2, 2         

    D)                 2, 3

    Correct Answer: C

    Solution :

                       Clearly, order of highest derivative = 2            and degree of the highest order derivative = 2                 \[\therefore \] order = 2, degree = 2.


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