Example of Weyl function for Friedrichs model

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I need somebodys’ help in my coursework on mathematics. I encountered difficulties in constructing an example of a Weyl function for the Friedrichs model for Sturm-Liouville operator ((L(y)=-y”+q(x)y)). There is a requirement that, in a particular case, the received Weyl function  [Click and drag to move] should coincides with the classical one​. I want the RIGHT ​answer, because it is very important for me. I can show what results I already have, but also I need to be sure that this tutor  will be reliable person​ and won’t use my results for himself. Thanks.

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