"\\frac {dx}{y+zx} = \\frac {dy}{-(x+yz)} = \\frac {dz}{x^2 - y^2}"
"\\frac {xdx+ydy}{x(y+zx)-y(x+zy)}= \\frac {dz}{x^2 - y^2}"
"\\frac {xdx+ydy}{z(x^2-y^2)}= \\frac {dz}{x^2 - y^2}"
"xdx+ydy=zdz"
"x^2+y^2=z^2+C_1"
"\\frac {xdx+ydy+zdz}{(z+1)(x^2-y^2)}= \\frac {dz}{x^2 - y^2}"
"xdx+ydy+zdz=(z+1)dz"
"x^2+y^2+z^2=z^2+2z+C_2"
"x^2+y^2=2z+C_2"
Comments
Leave a comment