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JEE Main & Advanced Mathematics Differential Equations Question Bank Numerical Value Type Questions - Differential Equations

  • question_answer
    Let \[y=y(x)\] be the solution of the differential equation, \[x\frac{dy}{dx}+y=x\,\,{{\log }_{e}}x,\] \[(x>1).\] If \[2y(2)={{\log }_{e}}4-1,\] and \[y(e)\]is equal to \[\frac{e}{k},\] then find k.

    Answer:

    4


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