1. Sep 20, 2012 #1

   zorro

   

   I have a trouble finding a method other than Variation of Parameters to solve
   y'' + 2xy' + (1+x²)y = 0.
   
   Does there exist any other method?

    

   zorro, Sep 20, 2012
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3. Sep 20, 2012 #2

   HallsofIvy

   

   Staff Emeritus

   Science Advisor

   I am confused as to what you mean by using "variation of parameters" to solve this. I was under the impression that variation of parameters was a method for finding a particular solution to a non-homogeneous equation after you had found the general solution to the related homogeneous equation.
   
   For a linear equation with variable coefficients, like that, a series solution is the standard method.

    

   HallsofIvy, Sep 20, 2012

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