微分方方程式を解いて下さいdx/z(x+y)=dy/z(x-y)=dz/x^2+y^2

dx/z(x+y)=dy/z(x-y)=dz/x^2+y^2

dx/x+y=dy/x-y

y=ux

du(u+1)/(u^2+2u-1)=-dx/x

log(U^2+2u-1)=-2logx+c

y^2+2xy-x^2=c1

xdx-ydy/z(x^2+y^2)=dz/(x^2+y^2)

xdx-ydy=zdz

x^2-y^2-z^2=c2

--\u0026gt;

y^2+2xy-x^2=c1

x^2-y^2-z^2=c2