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JEE Main & Advanced Mathematics Differential Equations Question Bank Linear defferential equations

  • question_answer
    The integrating factor of the differential equation \[(x\log x)\frac{dy}{dx}+y=2\log x\] is

    A)                 \[\log x\] 

    B)                 \[\log (\log x)\]

    C)                 \[{{e}^{x}}\]      

    D)                 \[x\]

    Correct Answer: A

    Solution :

                    I.F. \[={{e}^{\int_{{}}^{{}}{\frac{1}{x\log x}dx}}}={{e}^{\log (\log x)}}=\log x\].


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