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

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

dx+dy=-dz/2

2dx+2dy+dz=0

2x+2y+z=c1

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

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

log(x^2+y^2)=-logz+c2

--\u0026gt;

2x+2y+z=c1

z(x^2+y^2)=c2