设y=y(x)由x-∫1x+ye-t2dt=0确定,则=______.

admin2019-09-04  27

问题 设y=y(x)由x-∫1x+ye-t2dt=0确定,则=______.

选项

答案e-1

解析 当x=0时,y=1,x-∫1x+ye-t2dt=0两边对x求导,得1-e-(x+y)2=0.
将x=0,y=1代入得=e-1.
转载请注明原文地址:https://kaotiyun.com/show/mpJ4777K
0

最新回复(0)