1. The problem statement, all variables and given/known data Check if the given initial value problem has a unique solution 2. Relevant equations y'=y^(1/2), y(4)=0 3. The attempt at a solution f=y^(1/2) and its partial derivative 1/2(root of y) are continuous except where y<=0. We can take any rectangle R containing the initial value point (4,0). Then the hypothesis of theorem of uniqueness is satisfied. I want to make sure if this way is correct. Some help please. Thanks!