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Question: let v be the space of differentiable functions on r...

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Let V be the space of differentiable functions on R. Let f (t)- et, where c is some number. Let L be the derivative d/dt. Show that f is an eigenfunction for L. What is the eigenvalue? Let L be the second derivative, that is L(f) = d25 df dt for any function f. Show that the functions sin t and cos t are eigenfunc- tions of L. What are the eigenvalues?
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