设函数f(x,y)可微,=-f(x,y)(0,π/2)=1,且}=ecoty,求f(x,y).

admin2018-05-21  20

问题 设函数f(x,y)可微,=-f(x,y)(0,π/2)=1,且}=ecoty,求f(x,y).

选项

答案[*] 解得f(0,y)=Csiny. 由f(0,π/2)=1,得C=1,即f(0,y)=siny. 又由[*]=-f(x,y),得lnf(x,y)=-x+lnφ(y), 即f(x,y)=φ(y)e-x,由f(0,y)=siny,得φ(y)=siny,所以f(x,y)=e-xsiny.

解析
转载请注明原文地址:https://jikaoti.com/ti/VsVRFFFM
0

随机试题
最新回复(0)