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KVPY Sample Paper KVPY Stream-SX Model Paper-10

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

    A) is of order 2                   

    B) is of degree 2

    C) is homogeneous 

    D) None of these

    Correct Answer: B

    Solution :

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


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