xdy-[y+xy^3(1+lnx)]dx=0的通解
问题描述：
xdy-[y+xy^3(1+lnx)]dx=0的通解
答
令z=1/y²,则dy=-y³dz/2 代入原方程,化简得xdz+2zdx=-2x(1+lnx)dx ==>x²dz+2xzdx=-2x²(1+lnx)dx ==>d(x²z)=-2x²...
xdy-[y+xy^3(1+lnx)]dx=0的通解
令z=1/y²,则dy=-y³dz/2 代入原方程,化简得xdz+2zdx=-2x(1+lnx)dx ==>x²dz+2xzdx=-2x²(1+lnx)dx ==>d(x²z)=-2x²...