Sturm-Liouville Eigenvalues and Eigenfunctions - Partial Differential Equations | Lecture 25

[@NeuralEngin33r]

Super excited that the algorithm helped me find you! Haven’t been this excited since finding Eigen Steve Brunton.

[@Mahyawr]

Dear Professor Bramburger, Thank you for your thorough explanation. I believe I have found an error in your proof that all eigenfunctions are unique. You plugged in the boundary conditions but then concluded that the expression is zero for all x between [a, b], however, the expression is zero only on the boundaries. Sincerely Mahyar

[@jasonbramburger]

Before I plugged in the boundary values, I showed that the expression is constant for all x in [a,b]. Thus, any choice of x will return the same constant value, which I then used x = a,b to show that the returned value has to be zero.