Mathematics Homework Solutions
#30711
Eigenfunction Problem
Given
y " + ky = 0;
y(0)=0 and y'(1)=0;
a) Determine the normalized eigenfunction for this problem;
b) Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
An Eigenfunction Problem is solved. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.
What is this?
By OTA - Overall OTA Rating
Marius Brebenel, PhD - 4.9/5
Purchase Cost Now
$2.19 CAD (was ~$3.99)
Included in Download
- Plain text response
- Attached file(s):
- P30711.doc
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Differential Operators : Eigenvalues, Eigenfunctions and Adjoints - Please see the attached file for the fully formatted problems. Let L = with boundary conditions u(0) = 0, u'(O) = u(1) ,so that the domain of L is S = {u Lu is square integrable; u(0) = 0, u'(O) = ...
- Eigenvalues, Eigenfunctions and Differential Equations - Consider the equation: y'' + k*y = 0 with BC: y(0) = 0 , y() = a 0 Answer the following: 1. What are the restrictions on k such that there is a nontrivial solution? 2. Find ...
- Eigenfunction expansion of a sturm - Liouville Problem - Homogeneous Boundary Conditions See attached file for full problem description.
- Schrodinger Eigenfunction Equation Coefficients - Consider the Schrodinger eigenfunction equation: - 2 + V = k2 x2 Where k > 0 V (x) = 0 if x > a V (x) = -V0 if 0 < x a V (x) = +ɨ ...
- Eigenvalue solutions of differential equations with boundary conditions. - Consider the equation: y'' + k*y = 0 with BC: y(0) = 0 , y() = a 0 Answer the following: 1. What are the restrictions on k such that there is a nontrivial solution? 2. Find ...
