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## Homework Statement

(x

^{2}+1)y"+(2-x

^{2})-(2+x)y=x(x+1)

^{2}

given 2 associated homogeneous solution are: e

^{x}and 1/x

## Homework Equations

this is a question from shaum's outline differential equations chapter on "variation of parameters"

## The Attempt at a Solution

so here what i got.....

y

_{h}=C

_{1}e

^{x}+C

_{2}(1/x)

and now im trying to find particular solution of y:

v

_{1}'e

^{x}+v

_{2}'(1/x)=0

and

v

_{1}'e

^{x}+v

_{2}'(-1/x

^{2})=x(x+1)

^{2}/(x

^{2}+1)

and now im stucked at solving v

_{1}' and v

_{2}' someone help plz?