Non-Trivial Solution
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Solve question #3
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Solution Summary
A non trivial solution is discussed.
Solution Preview
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Problem:
Show that the equation can posses a non trivial solution which vanishes at and only if is such that , and that corresponding to such a characteristic number , any multiple of the function is a solution with the required properties.
Solution:
We need to perform a function change in order to bring the equation to one of the known standard forms:
( 1)
( 2)
We try now a variable change of form
( 3)
( 4)
...
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