【①求通解[xsin(y/x)-ycos(y/x)]dx+xcos(y/x)dy=0②解初值xy#39;-y=xtany/x,y(1)=π/2】
<p>问题：【①求通解dx+xcos(y/x)dy=0②解初值xy#39;-y=xtany/x,y(1)=π/2】<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">贾迪野的回答：<div class="content-b">网友采纳 1.令y/x=t,则方程化为(xsint-xtcost)dx+xtcostdx+x^2costdt=0 即dx/x=-cottdt 解得y=xarcsin(C/x) 2.令y/x=t,则方程化为xdt=tantdx 解得y=xarcsinCx 令y(1)=π/2得y=xarcsinx
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