Determine the interval of existence for the initial value problem y′=y1/3,y(0)=0y' = y^{1/3}, y(0) = 0y′=y1/3,y(0)=0.
Unique solution exists for x∈Rx \in \mathbb{R}x∈R
Non-unique solutions exist due to violation of Picard-Lindelöf theorem
No solution exists
The solution is only defined for x>0x > 0x>0