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KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    The differential equation, \[x\frac{dx}{dx}+\frac{3}{\frac{dy}{dx}}={{x}^{2}}\]

    A) is of order 2

    B) is of degree 2

    C) Is homogeneous

    D) none of these

    Correct Answer: B

    Solution :

    \[x\frac{dy}{dx}+\frac{3}{\frac{dy}{dx}}={{x}^{2}}\]\[\Leftrightarrow x{{\left( \frac{dx}{dy} \right)}^{2}}-{{x}^{2}}\frac{dy}{dx}+3=0\] It is order = 1, degree = 2


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