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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    If the integrating factor of the differential equation\[\frac{dy}{dx}+p(x)t=Q(x)\]then\[P(x)\]is

    A) \[x\]                                     

    B)  \[{{x}^{2}}/2\]

    C)  \[1/x\]                

    D)         \[1/{{x}^{2}}\]

    E)  \[1/2x\]

    Correct Answer: C

    Solution :

    Given that, \[IF=x\] \[\therefore \]  \[{{e}^{\int{P}\,dx}}=x\] \[\Rightarrow \]               \[\int{P}\,dx=\log x\] \[\Rightarrow \]               \[P=\frac{d}{dx}\log x=\frac{1}{x}\]


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