已知XY=e^(x+y) 求dy
1个回答
先将等式两边同时取对数:ln(xy)=x+y
两边同时求导:(y+xy')/xy=1+y'
整理得y'=(y-xy)/(xy-1)
因为y'=dy/dx
所以dy=[(y-xy)/(xy-1)]dx
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