Problem in Bessel equation help .

In summary, the conversation is about a problem in the Bessel equation and a homework question involving integrals and derivatives. The person has attempted to solve it but is having difficulty and requests help. They are directed to post in the appropriate forum and to show their own effort before receiving assistance.
  • #1
horn
2
0
problem in Bessel equation help ...

Homework Statement



using the formula d\dx (x^n Jn(x))=x^n Jn-1(x)
& 2n\x Jn(x)=Jn+1(x)+Jn-1(x)

Homework Equations



prove that integral from 0 to 1 (x(1-x^2)Jdot(x) dx = 4 J1(1) - 2 Jdot (1)

The Attempt at a Solution


it's difficult one i can not answer it .
 
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  • #2


First off, this is NOT a precalculus problem. Please use the Calculus & Above section for problems like this.

Second, what yave you tried? Before we can help you, you need to show a serious effort at solving it yourself.
 
  • #3


sorry
please delete my topic and thank u anyway
 

1. What is a Bessel equation?

A Bessel equation is a type of differential equation that is commonly used in mathematical physics to describe problems involving cylindrical or spherical symmetry. It is named after the mathematician Friedrich Bessel.

2. What types of problems can be solved using Bessel equations?

Bessel equations are most commonly used to solve problems involving wave propagation, heat transfer, and fluid mechanics in systems that exhibit cylindrical or spherical symmetry. They are also used in electrical engineering and signal processing.

3. What makes solving problems with Bessel equations challenging?

One of the main challenges of solving problems with Bessel equations is that they are non-linear and do not have analytical solutions. This means that numerical methods must be used to approximate the solutions, which can be time-consuming and complex.

4. How are Bessel equations related to other types of differential equations?

Bessel equations are a special type of differential equation known as a second-order ordinary differential equation. They are closely related to other types of differential equations, such as Legendre equations, Laplace equations, and Helmholtz equations.

5. What are some practical applications of Bessel equations?

Bessel equations have a wide range of practical applications, including in the fields of acoustics, electromagnetics, and fluid dynamics. They are used to model the behavior of sound waves, electromagnetic fields, and fluid flow in systems with cylindrical or spherical symmetry.

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