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 t0 = 3 and x0 = 5
Does the theorem of existence and unicity guarantee an existence of a solution for the initial value problem x(t0) = x0? Justify your answer.
What would your answer be to this? Would help me understand if I got a model answer.