"The eigenvalue problem Ly=(py')'+qy, a <= x <= b is a Sturm-Liouville problem when it satisfies the boundary conditions:
I have to show that the eigenvalue problem y''+λy=0, with boundary conditions y(0)=0, y'(0)=y'(1) is not a Sturm -Liouville problem.
This is what I've done so far:
Letsolutions of the eigenvalue problem y''+λy=0 , then:
How can I continue? How can I show that this is not equal to?
Hello!!! Could anyone help me to solve this exercise?
Using Stirling's formula show that( see the first uploaded image), where S(x)=-xlnx-(1-x)ln(1-x), 0<=x<=1.
I used n!=e^(-n)n^(n+1/2)(2π)^(1/2)*(1+O(1/n)) and my result is (see the second uploaded image).
Is this equal to the result i have to show??