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BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    The degree of the differential equation\[x=1+\frac{dy}{dx}+\frac{1}{2!}{{\left( \frac{dy}{dx} \right)}^{2}}+\frac{1}{3!}{{\left( \frac{dy}{dx} \right)}^{3}}+...\]is

    A)                  3

    B)                 1

    C)                 not defined                       

    D) None of these

    Correct Answer: B

    Solution :

    We have , \[x={{e}^{dy/dx}}\] \[\Rightarrow \] \[\log x=\frac{dy}{dx}\]Clearly, it is differential equation of degree 1


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