Re: [理工] [工數]-PDE
※ 引述《pasu (心)》之銘言：
: Find solutions u(x，y) of the following equations using separating
: variables.
: u_x =yu_y
: 上面的u_x代表偏微....^^"
: 請問這題要怎麼解阿
u_x =yu_y
@u @u
---=y---
@x @y
let XY=u
X'Y=yXY'
X' Y'
---=y---=k
X Y
X'-kX=0 x=c1e^kx
yY'-kY=0 Y=c2y^k
U=Sum A(K)(y^ke^kx)=f(ye^x) f() is any function
k
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