Solving Linear Systems Using Variation of Parameters

ravager1987
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Homework Statement



(x2+1)y"+(2-x2)-(2+x)y=x(x+1)2

given 2 associated homogeneous solution are: ex 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...
yh=C1ex+C2(1/x)

and now I am trying to find particular solution of y:

v1'ex+v2'(1/x)=0
and

v1'ex+v2'(-1/x2)=x(x+1)2/(x2+1)and now I am stucked at solving v1' and v2' someone help please?
 
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Well, you have a system of two linear equations, right? What methods do you know to solve those?
 

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