# Sturm-liouville and Hermit's differential equation

Not what you're looking for?

1. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem.

x2y'' + xy' + λ y = 0, y(1) = 0, y(5) = 0.

(b) Put the differential equation in self -adjoint form.

(c) Give an orthogonality relation.

2. Hermite's differential equation

y'' -2xy' + 2ny = , n = 0, 1, 2,...

has polynomial solutions Hn(x). Put the equation in self-adjoint and give an orthogonality relation.

##### Purchase this Solution

##### Solution Summary

This is an example of a Sturm Liouville problem involving eigenvalues and eigenfunctions, Hermit's differential equation, and an orthogonality relation.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Probability Quiz

Some questions on probability

##### 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.

##### 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.