meili 发表于 2022-10-27 15:18:25

[(x+ay)dx+4ydy]/(x+2y)为某函数u(x,y)的全微分,求a

<p>问题:[(x+ay)dx+4ydy]/(x+2y)为某函数u(x,y)的全微分,求a
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">白剑的回答:<div class="content-b">网友采纳  du=[(x+ay)dx+4ydy]/(x+2y)  u'y=4y/(x+2y)=(4y+2x-2x)/(x+2y)=2-2x/(x+2y)  对y积分:u=2y-xln(x+2y)+g(x)  u'x=-ln(x+2y)-x/(x+2y)+g'(x)  题目不对<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">田敬军的回答:<div class="content-b">网友采纳  题目哪里错了<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">白剑的回答:<div class="content-b">网友采纳  分母是否是(x+2y)^2
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