Ok, I sort of get it but still slightly confused, an exact question I have is: In the following case:
x'(t) = log(3t(x(t)2)), where t_{0} = 3 and x_{0} = 5
Does the theorem of existence and unicity guarantee an existence of a solution for the initial value problem x(t_{0}) = x_{0}? Justify your answer.
What would your answer be to this? Would help me understand if I got a model answer.
