Explore BrainMass

Explore BrainMass

    Eigenvalue solutions of differential equations with boundary conditions.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Consider the equation: y'' + k*y = 0 with BC: y(0) = 0 , y() = a 0

    Answer the following:

    1. What are the restrictions on k such that there is a nontrivial solution?
    2. Find a solution using eigenfunction expansion on [0,]
    3. Find a solution to the differential equation using any method
    4. Compare answers 2 and 3 show they are equivalent

    Please see the attached file for the fully formatted problems.

    keywords: eigenvalues, eigenfunctions, ODEs

    © BrainMass Inc. brainmass.com March 4, 2021, 7:37 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/eigenvalue-solutions-of-differential-equations-with-boundary-conditions-112692

    Attachments

    Solution Summary

    Eigenvalue solutions of differential equations with boundary conditions are investigated. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT