Question #127677

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

Expert's answer

dxyz=dyzxdxy=dyxxdx=ydyx2=y2+C1Inthesameway:z2=y2+C2\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



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