Answer to Question #127677 in Differential Equations for Debugger

Question

Find the integral curves of the equations dx/yz = dy/zx = dz/xy

Answer 1

$\dfrac{dx}{yz}=\dfrac{dy}{zx}\newline \dfrac{dx}{y}=\dfrac{dy}{x}\newline xdx=ydy\newline x^2=y^2 + C_1\newline In\, the\, same\, way:\newline z^2=y^2+C_2$