2. Consider the eigenvalue problem x²o" (x) + xo'(x) + Aø(x) = 0, with O (1) = 0, and øʻ(b) = 0, where b > 1. Show that all the eigenvalues are non-negative. Hint: Transform the problem to the...

1. Show that all the eigenvalues are non-negative. Hint: Transform the problem to the Sturm-Liouville form by multiplying it by an appropriate function H(x). Recall that you did this in the previous homework. "/>
Extracted text: 2. Consider the eigenvalue problem x²o" (x) + xo'(x) + Aø(x) = 0, with O (1) = 0, and øʻ(b) = 0, where b > 1. Show that all the eigenvalues are non-negative. Hint: Transform the problem to the Sturm-Liouville form by multiplying it by an appropriate function H(x). Recall that you did this in the previous homework.