# How do you draw the slope field of the differential equation #dy/dx=1/3(y-1)^(1/3)# ?

##### 1 Answer

Sep 22, 2014

The first thing you need to do is solve the DE as separable equations:

Normally slope fields are drawn by hand. There are many on-line plotters available. The one below is by MathScoop :

It's not obvious, unless you solve the separable equation. Looking at the RHS, you see