Second ODE

  • Thread starter zorro
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  • #1
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Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
HallsofIvy
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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.
 

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