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

1. Jan 29, 2012

### abrowaqas

1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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.

2. Jan 29, 2012

### HallsofIvy

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