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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 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{\frac{1}{3}}}+{{x}^{\frac{1}{4}}}=0\] are respectively      [MP PET 1998]

    A)                 2, 3         

    B)                 3, 3

    C)                 2, 6         

    D)                 2, 4

    Correct Answer: A

    Solution :

                       Given \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{1/3}}+{{x}^{1/4}}=0\]            Taking cube,  \[{{\left[ \left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)+{{\left( \frac{dy}{dx} \right)}^{1/3}}+{{x}^{1/4}} \right]}^{3}}=0\]            Order of highest derivative \[=2\]                                 Degree of highest derivative \[=3\] .


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