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JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of differential equations

  • question_answer
    The differential equation  \[x{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}+{{\left( \frac{dy}{dx} \right)}^{4}}+y={{x}^{2}}\] is of

    A)                 Degree 3 and order 2             

    B)                 Degree 1 and order 1

    C)                 Degree 4 and order 3             

    D)                 Degree 4 and order 4

    Correct Answer: A

    Solution :

                       Given differential equation, \[x{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}+{{\left( \frac{dy}{dx} \right)}^{4}}+y={{x}^{2}}\]                    In this equation order of highest derivative is 2,                                 Hence order \[=2\]and degree of highest derivative \[=3\].


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