Reduction of Order Problem for Differential Equations Class

M87TJC
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Homework Statement
Find second solution for differential equation using reduction of order (see first image)
Relevant Equations
equation labeled (5) in first image in addition to equation 1
Problem statement:
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Second order linear differential equation in standard from
1633375439303.png

Reasoning:
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I just looked back at the original problem, and I realized that I did not put the equation into standard form. If I divide the equation by 4 and repeat the same process I get the correct answer.
 
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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