Purchase Solution

Sturm-Liouville form

Not what you're looking for?

Ask Custom Question

Write each of these ODEs in Sturm-Liouville form, and identify the weight function that would be used in defining an appropriate inner product {see attachment for ODEs}

Use words to describe the solution process.
Use appropriate math symbol editor like LateX. Please no stuff like <=.

Attachments
Purchase this Solution
Solution Summary

This shows how to write differential equations is in Sturm-Liouville form, and identify the weight function that would be used in defining an appropriate inner product.

Solution Preview

File Attached (Answer-18.doc)

Use words to describe the solution process.
Use appropriate math symbol editor like LateX. Please no stuff like <=.

a. Since ...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

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

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Sturm-Liouville - Problem

    (Obtaining Sturm-Liouville form) We observed, in Example 4, that the equation A(x)y" + B(x)y' + C(x)y + lambda D(x)y = 0 (3.1) is in the standard Sturm-Liouville form (1a) only if B(x) = A'(x).

  • Sturm-Liouville expansion

    (The problem is from Periodic and Singular Sturm-Liouville Problems.) This is the famous Sturm-Liouville equation that leads to the Legendre's polynomials.

  • Sturm-liouville and Hermit's differential equation

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

  • Differential Equation : Space Factor, Time Factor, Eigenvalues and Sturm-Liouville

    (b) Show that 0 is not an eigenvalue of the Sturm-Liouville problem for X. (c) Show that for any integer n>1, Xn(x) = e^-x sinnx is an eigenfunction of the Sturm-Liouville problem for X and determine the corresponding eigenvalue.

  • Sturm-Liouville Proof

    This is a proof regarding a given Sturm-Liouville equation.

  • Sturm-Liouville Problem

    116848 Sturm-Liouville Problem This has to be converted to a Sturm-Liouville equation and then solved y'' + 2*y' + (1+k)*y = 0 BC: y(0) = y(1) =0 I need all the steps taken to convert to an SL Eqn and the the solution of that

  • Proof : Adjoints

    70604 Proof : Adjoints and Sturm-Liouville Theorem 1.

  • Wave equation

    It involves separation of variables, the Sturm-Liouville system, and an application to the "Rayleigh Quotient" involving the Eigenvalues. I have included notes on the Sturm-Liouville system with examples and properties.

  • Sturm-Liouville Problem: Prufer Equation

    15496 Sturm-Liouville Problem: Prufer Equation Consider the Sturm-Liouville problem (pu') + Vu = 0 for the function u(x), with p(x) > 0 and V(x) = q(x) + lambda p(x).

View More Related Solutions