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Hi, need help solving a first order homogeneous ODE.

y'(x)-(a/x)y = b/(x(1+x)^2) Here a and b are some constants.

Need to solve this for y.

My attempts so far have been to use

But this means solving ∫ x^(-a)/(x(1+x)^2) dx which has solutions in terms of Gauss hyper-geometric functions,

http://en.wikipedia.org/wiki/Hypergeometric_function" [Broken]

Which lead me to believe i'm going wrong somewhere....

Sorry for the maths format, i'm new to here and don't know how to insert LaTeX.

Thanks

y'(x)-(a/x)y = b/(x(1+x)^2) Here a and b are some constants.

Need to solve this for y.

My attempts so far have been to use

But this means solving ∫ x^(-a)/(x(1+x)^2) dx which has solutions in terms of Gauss hyper-geometric functions,

http://en.wikipedia.org/wiki/Hypergeometric_function" [Broken]

Which lead me to believe i'm going wrong somewhere....

Sorry for the maths format, i'm new to here and don't know how to insert LaTeX.

Thanks

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