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How can I get the (Volterra) operator from an equation of the type

$$u''(x)+xu'(x)+u(x)=0\text{ ?}$$

I know that there is a general way of doing it, if you could point me at the proper book I'd be thankful!

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    It is simpler to solve this equations than to understand what you are asking about2012-09-23
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    Ok maybe I explain myself a little bad. Fredholm operators are helpful in order to solve differential equations, because you can reduce the problem to one of the tipe $u(x)=T(u(x))$ where $T$ is the operator, that is, the answer will be the eigenvalues of $T$. The question is adressed to people who know a little about Fredholm and Volterra operators.2012-09-23

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