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Variation of parameters

  1. Oct 26, 2009 #1
    1. The problem statement, all variables and given/known data

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

    given 2 associated homogeneous solution are: ex and 1/x

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


    3. The attempt at a solution

    so here what i got.....
    yh=C1ex+C2(1/x)

    and now im 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 im stucked at solving v1' and v2' someone help plz?
     
  2. jcsd
  3. Oct 26, 2009 #2
    Well, you have a system of two linear equations, right? What methods do you know to solve those?
     
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