(d/dx (x du/dx))+ lambda* x^(-1) u=0
0 < x < 1;
u(1) = 0:
a) Specify an appropriate boundary condition at x = 0 to ensure that the problem is self-adjoint.
b) Use the Rayleigh quotient to show that there are no negative eigenvalues.
c) Find two linearly independent solutions to the dierential equation.
d) Find the spectrum and eigenfunctions.Consider the singular Sturm-Liouville eigenvalue problem
Recently Asked Questions
- Let X ∼ Fm,n. Find the mean and variance of X ∼ F n,m .
- Assume that you are from a inter--related family or group who immigrated to America from Eastern Europe about a year ago. You have been saving to get
- In 2004 , 56 % of US voters were against gun control . A recent study finds that 100 out of a sample 200 US voters are against gun control . We would like to