CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The solution of\[\frac{dy}{dx}+p(x)y=0\]is:

    A)  \[y=c{{e}^{\int{p\,dx}}}\]                           

    B)                         \[y=c{{e}^{-\int{p\,dx}}}\]

    C)                         \[x=c{{e}^{-\int{p\,dy}}}\]                         

    D)                         \[x=c{{e}^{\int{p\,dy}}}\]

    E)                         none of these

    Correct Answer: B

    Solution :

    \[\because \]In the given linear differential equation coefficient of Q is 0. \[\therefore \]Solution is                 \[y.{{e}^{\int{P}\,dx}}=\int{0}\,dx+c\] \[\Rightarrow \]               \[y=c{{e}^{-\int{P\,}dx}}\]


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