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**Existence and Uniqueness of solutions (pretty urgent)**

## Homework Statement

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

## Homework Equations

u'(x) = sin(u(x))

## 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.

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