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In the following link there's a presentation of the problem, and in the attachment my failed attempt at solving it (it should have been part of my thesis I guess :-( ):

https://math.stackexchange.com/questions/1180968/question-13-in-taylors-pde-vol-iii-section-16-1

Any help on how to solve this?

In the attachment there's the latex file with the remarks my teacher gave me. (His remarks are between the two lines with*******).

Perhaps one day I'll get my MSc...

Taylor_Exercises-new

I tried to upload as an attachment through the option in the MHB forum but didn't succeed as the txt file exceeds the site's capacity, so I uploaded to mediafire.

Thanks in advance for your time!