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JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of 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      [Roorkee 1998]

    A)                 Linear     

    B)                 Homogeneous

    C)                 Order two              

    D)                 Degree one

    Correct Answer: C

    Solution :

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


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