Am not sure at all how to do this, all i know is the intial guess the DE is
y''+ 5y'=30x^2
my intial guess is ax^2 +bx + c
the deritives are y'=2ax + b and y''=2a
then i get (2a) + 5(2ax+b)=30x^2 or 2a + 10ax + 5b=30x^2
10ax + 2a + 5b=30x^2
if i equate them dont i get a=b=0? or am i missing something any help appreciated thanks in advance!
My post in this thread: http://www.mathhelpforum.com/math-he...-integral.html
suggests the modification you need to make to your particular solution.
From the work posted by the OP I think it's clear that this technique is probably beyond what s/he has learned so far.