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    Non-Trivial Solution

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    Solve question #3

    © BrainMass Inc. brainmass.com May 20, 2020, 7:55 pm ad1c9bdddf
    https://brainmass.com/math/numerical-analysis/non-trivial-solution-366125

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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)
     ...

    Solution Summary

    A non trivial solution is discussed.

    $2.19

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