Non-homogeneous differential equation

Juliousceasor
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Homework Statement



I am trying to find out the soulution of the following non homogeneous differential equation with variable coefficients. The differential equation is given as follows

Homework Equations



y''+(1/x)y'-(A0/x)y = -B0/x

where,
A0,B0 = constants

Does anyone have any idea how to solve this one?
help is greatly appriciated..
Thanks!
 
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Do YOU have any ideas on how to solve this one? You need to say what you've tried to get help
 
I think its a bit complicated for an algebra problem and i think variation of parameters could be one of the suited methods to solve it..but I have no idea how to do it..Whats the combinatrics way?
 
Office_Shredder wasn't offering suggestions; that's his signature. :smile:

You need to show what you've tried. Surely, you're covering methods in your class relevant to solving this problem. Try one and see where it goes.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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