Purchase Solution

Besell's Equation

Not what you're looking for?

Ask Custom Question

Bessel's Equation:

(a) x^2y" + xy' + (x^2 - n^2)y = 0.

Write the solution as:

(b) y(x) = Sum lambda = 0, a_lambda * x ^ (lamda = k)

Substituting (b) into (a) yields:

Sum lambda = 0, a_lambda * [(k + lambda)(k + lamdba - 1) + (k + lamdba) - n^2]*x^(k + lamda)
+ Sum lamdba = 0, a_lambda * x ^ (lambda + k + 2)
= 0

Attachments
Purchase this Solution

Solution Summary

We derive a power series expansion for the nth order Bessel function from Bessel's differential equation.

Solution Preview

Please see the attachment for the full solution.

We are given Bessel's ...

Purchase this Solution


Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.