Differential equation dx/x(z-2y^2) = dy/y(z-y^2-2x^3) = dz/z(z-y^2-2x^3)

[abrowaqas]

Homework Statement

Solve
dx/x(z-2y^2) = dy/y(z-y^2-2x^3) = dz/z(z-y^2-2x^3)

Homework Equations

The Attempt at a Solution

i got one solution by taking

dy/y(z-y^2-2x^3) = dz/z(z-y^2-2x^3)

dy/y= dz/z
integ: to bothsides

ln y = ln z + ln c
ln y = ln (zc)
y=zc

y/z= c

now i am looking for next solution kindly help.

 

[HallsofIvy]

Now, you can replace y by cz in
\frac{dx}{x(z-2y^2)}= \frac{dz}{z(z- y^2- 2x^3)}