JEE Main & Advanced Mathematics Differential Equations Question Bank Critical Thinking

  • question_answer
    The degree of the differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+3{{\left[ \frac{dy}{dx} \right]}^{2}}={{x}^{2}}\log \left[ \frac{{{d}^{2}}y}{d{{x}^{2}}} \right]\] is [Pb. CET 2004]

    A) 1    

    B) 2

    C) 3    

    D) None of these

    Correct Answer: D

    Solution :

    Since the equation is not a polynomial in all differential coefficients, so its degree is not defined.


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