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VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    The differential equation of the rectangular hyperbola, where axes are the asymptotes of the  hyperbola, is

    A) \[y\frac{du}{dx}=x\]                      

    B) \[x\frac{du}{dx}=-y\]

    C) \[x\frac{dy}{dx}=y\]                      

    D) xdy + ydx = c

    Correct Answer: B

    Solution :

    The differential equation of the rectangular hyperbola \[xy={{c}^{2}}\] is                    \[y+x\frac{dy}{dx}=0\] \[\Rightarrow \]                 \[x\frac{dy}{dx}=-y\]


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