Can anyone help me figure out the slope field of dy/dx= x(cubed root(y))? I just can't figure it out.
This problem is not difficult - just tedious. Start asking yourself questions like, "Where is the slope zero?", "Where is it positive/negative?", etc.
For example, the slope is 1 on the curve $\displaystyle 1=x\sqrt[3]{y}$ or $\displaystyle y=\frac{1}{x^3}$.
Just keep it up until you have what you think is enough slopes to make a slope field.
- Hollywood