Question about a differential problem

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Homework Statement


C1e^2x + C2Xe^2x is what i need to derive.


Homework Equations





The Attempt at a Solution

my teacher got this 2C1e^2x + C2e^2x + 2C2Xe^2x. when i derived i got 2C1e^2x + 2C2e^2x. can someone tell me which is correct and if i am wrong, what should be done to correct it.
 
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Your teacher is right. For the second term you need to use the product rule. It's the product of two functions of x.
 
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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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