- #1
FAS1998
- 50
- 1
- Homework Statement
- I’ve included an image of the problem below. This isn’t technically a homework problem. It’s a practice test question that I have the solutions for. I’m stuck at part 2. I have to show that eigenvalues are positive with the Rayleigh quotient.
- Relevant Equations
- d/dx(p(x)d*phi(x)/dx) + q(x)*phi(x) + lamda*sigma(x)*phi(x)
By comparing the given equation to the equation for the Sturm-Liouville form, I see that p(x) must equal 1, q(x) must equal 0 and sigma(x) must equal 1.
After this, I have no idea what I should be doing for part 2.
After this, I have no idea what I should be doing for part 2.
Attachments
Last edited by a moderator: