Existence and Uniqueness of solutions (pretty urgent) 1. The problem statement, all variables and given/known data I need to solve some problems and I've given one as an example. The question is if there is existence and uniqueness of solutions to the DE 2. Relevant equations u'(x) = sin(u(x)) 3. The attempt at a solution I know that the first step I'm supposed to work out is the satisfaction of the Lipschitz condition... but I don't even know how to begin with that! My text is pretty theoretical... so a worked example would really help. I get the idea of the theorem. I just have trouble applying it.