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i have a different DE question, actually i have searced it in the net but didn't find the answer.

what if there is a DE with variable coefficients (needed power series sol'n)

but a NONHOMOGENEOUS one??? (actually it's kinda urgent, have only one day)

for example: x^2 y'' + xy' + (x+1)y = 1/x^2

my sol'n:

actually i cant think of anything, if the righthand side was 0 it could be solved by

y=SUM( an * x^(n+r) ) then apply the well known solution (the long one, cant be writen here, it is very long)

but i dont know even which method to apply to solve a nonhomo

by the way if the general solution i need is y = yc + yp

yc: y complementary

yp: y particular

i need yp (don't know which method to use)

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# Homework Help: A different DE question

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