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

  • question_answer
    The degree of the differential equation\[\frac{dy}{dx}-x={{\left( y-x\frac{dy}{dx} \right)}^{-4}}\] is

    A) 2

    B) 3

    C) 4

    D) 5

    Correct Answer: D

    Solution :

    [d] \[\because \,\,\,\frac{dy}{dx}-x={{\left( y-x\frac{dy}{dx} \right)}^{-4}}\] \[\Rightarrow \left( \frac{dy}{dx}-x \right){{\left( y-x.\frac{dy}{dx} \right)}^{4}}=1\] \[\therefore \] Order of the above differential equation = 1 & degree = 5


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