JEE Main & Advanced Mathematics Differential Equations Question Bank Self Evaluation Test - Differential Equations

  • question_answer
    Consider the following statements in respect of the differential equation\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+\cos \left( \frac{dy}{dx} \right)=0\]
    1. The degree of the differential equation is not defined.
    2. The order of the differential equation is 2.
    Which of the above statements is/are correct?

    A) 1 only

    B) 2 only

    C) Both 1 and 2

    D) Neither 1 nor 2

    Correct Answer: C

    Solution :

    [c] Statement 1: Differential equation is not a polynomial equation in its derivatives. So, its degree is not defined. Statement 2: The highest order derivative in the given polynomial is 2.

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