Eigenfunctions, Eigenvalues, Harmonic Functions and Sturm-Liouville Problems
Not what you're looking for?
Given the equation below find the eigenvalues and then the eigenfunctions. Compute the coefficients of the eigenfunction expansion. In each case determine what the eigenfunction expansion converges to on the interval and the sum of the first N terms on the same set of axes for the given interval.
Please show the function (N=5) and how it is expanded!!
f(x) = x^2 x is greater than or equal to -3 Pi or less than or equal to 3 Pi
y(-3Pi) = y(3Pi)..... y(-3Pi) = y(3Pi)
y'' + y = 0
Purchase this Solution
Solution Summary
Eigenfunctions, Eigenvalues, Harmonic Functions and Sturm-Liouville Problems are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Solution Preview
Hello and thank you for posting your question to BrainMass!
For generality sake, I ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.