How Do You Solve This Second-Order Linear Differential Equation?

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x^2d^2y/dx^2+3xdy/dx+5y=3x
I don't know where to start with the question ,can anyone here help me pleasez.
 
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Do you know how to solve x^2 y'' + axy' + by =0 in general?

Hint: Use the substitution x = e^z
 
Thanks for the help much appreciated..I have not yet done this chapter.
 
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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