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

  • question_answer
    The differential equation\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}+\sin y+{{x}^{2}}=0\] is of the following type

    A) Linear

    B) Homogeneous

    C) Order two

    D) Degree two

    Correct Answer: C

    Solution :

    [c] Given differential equation, \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+x.\frac{dy}{dx}+\sin y+{{x}^{2}}=0\] The order of highest derivative =2 and degree = 1.


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