Differential equations- simultaneous equations

Jenkz
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Homework Statement



http://img228.imageshack.us/i/cimg5162f.jpg/

This isn't the usual format, so I hope it's still ok. It's just easier than writing it out on here. I can't work out how to form a simultaneous equation from (1) and (2).

When solved it should form the du/dx and dv/dx answers written.

The Attempt at a Solution



I have tried to work backwards from the answers, but I still can't figure it out. I've also tried re-arranging (1) to find du/dx or dv/dx and subbing into (2) and trying to re-arrange, but I can't get the answers either.

Help please?
 
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Nevermind, I've got it now. Just a stupid mistake.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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