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

  • question_answer
    Family \[y=Ax+{{A}^{3}}\]of curve represented by the differential equation of degree      [MP PET 1999]

    A)                 Three      

    B)                 Two

    C)                 One

    D)                 None of these

    Correct Answer: A

    Solution :

                       Differentiating the given equation, we get \[\frac{dy}{dx}=A\]                                 \[\therefore y=x\left( \frac{dy}{dx} \right)+{{\left( \frac{dy}{dx} \right)}^{3}}\]which is of degree 3.


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