Separating integral

[rinspd]

If (dy/dx)= (1/√(y)), with y(0) = 9, find y and state its domain.

I found y= (3x/2 + 27)^(2/3), but I couldn't find the domain.

 

[tkhunny]

Where did you look?

The first derivative doesn't exist at y = 0. Is there anything else missing?