dy/dx+y/xlnx=1
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dy/dx+y/xlnx=1dy/dx+y/xlnx=1dy/dx+y/xlnx=1dy/dx+y/(xlnx)=1为一阶线性微分方程,则y=e^[-∫dx/(xlnx)]{∫1*e^[∫dx/(xl
dy/dx+y/xlnx=1
dy/dx+y/xlnx=1
dy/dx+y/xlnx=1
dy/dx+y/(xlnx)=1 为一阶线性微分方程,则
y=e^[-∫dx/(xlnx)]{∫1*e^[∫dx/(xlnx)]dx+C}
= (1/lnx)(∫lnxdx+C) = (1/lnx)(xlnx -x+C)
= x+(C-x)/lnx.
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