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

  • question_answer
    What are the order and degree respectively of the differential equation\[y=x\frac{dy}{dx}+\frac{dx}{dy}\]?

    A) 1, 1

    B) 1, 2

    C) 2, 1

    D) 2, 2

    Correct Answer: B

    Solution :

    [b] The given differential equation is \[y=x\frac{dy}{dx}+\frac{dx}{dy}\] Multiplying both the sides by \[\frac{dy}{dx}\] We get \[\left( \frac{dy}{dx} \right)y=x{{\left( \frac{dy}{dx} \right)}^{2}}+1\] \[\Rightarrow x{{\left( \frac{dy}{dx} \right)}^{2}}-y\left( \frac{dy}{dx} \right)+1=0\] Hence, order and degree of differential equation are 1 and 2.


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