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

  • question_answer
    What is the degree of the differential equation\[y=x\frac{dy}{dx}+{{\left( \frac{dy}{dx} \right)}^{-1}}\]?

    A) 1

    B) 2

    C) -1

    D) Degree does not exist.

    Correct Answer: B

    Solution :

    [b] Given differential equation is \[y=x\frac{dy}{dx}+{{\left( \frac{dy}{dx} \right)}^{-1}}\] Multiply by \[\frac{dy}{dx};y\frac{dy}{dx}=x{{\left( \frac{dy}{dx} \right)}^{2}}+1\] Since power of highest order derivative is 2. \[\therefore \] degree = 2

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