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Clearly, the equation ## 4x^5u''+12x^2u'-4u=0 ## is not a Cauchy–Euler equation, and it cannot be solved by the standard method, which...
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Doing some reading ...
I want to analyse my problem further by firstly looking at existence and uniqueness.
Re-writing it as a first...
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ok man, I read that. The only thing remaining is for me to get to learn some analysis on this type of problem...