Question

Solve the differential equation:
dy/dx = x (y^(1/3))

Answer 1

x dx=dy/y^1/3

1/2 x^2=y^2/3 * 3/2

x^2=3y^2/3

then put it in any form you wish.

Answer 2

How could I rearrange this to form y=? Out of all the combinations I have tried, I can't find any that satisfy the initial condition f(2)=8.