find all three constant solutions of the differential equation y^1= (8y-y^3)(x-y^3) ... i know u set it equal to 0 but i don't know how to solve

Question

anonymous · Answer

$$y'=(8y-y''')(x-y''')$$

anonymous · Answer

my attempt 
0=(8y-y^3)(x-y^3)
so when the whole function is 0 when
0=(8y-y^3) or 0=(x-y^3)

anonymous · Answer

i mean y^3 not 3rd derivative for the original eqution

anonymous · Answer

where is the differential ? on the first y?

anonymous · Answer

$$y \prime=(8y-y ^{3})(x-y ^{3})$$

anonymous · Answer

sorry i should have used that from the start

myininaya · Answer

wait it it y triple prime or y^3?

myininaya · Answer

ok i see i just read

anonymous · Answer

y^3

myininaya · Answer

so it says find all constant solutions?

myininaya · Answer

i don't think i understand

anonymous · Answer

yeah i am supposed to find all 3 constant solutions so there should only be 3

anonymous · Answer

i believe there is an infinite amount of non constant solutions depending on the point the solution passes through. Is 0 one of the constant solutions?