How to Solve a Bessel Differential Equation Using Runge-Kutta in C?

[aadepetun]

differential equation involving bessel functions - pls help!

1. I am trying to simplify the expression in the attachment below to extract some data:

https://www.physicsforums.com/attachment.php?attachmentid=18352&d=1239157280
2. the relevant equation for beta is given by https://www.physicsforums.com/attachment.php?attachmentid=18353&d=1239157280
Can anyone help me?

Thanks.

 

[tnutty]

link does not work

 

[aadepetun]

Oh... I don't know why... but you can see the equations in the attachments below... thanks

 

[nada]

how can solve bessel equation by runge-kutta, beginning with positive value of x and y ,and y' (integrat forward and backwar in x )plot y with c language
please help