# Math Help - Bessel Equation generl solution

1. ## Bessel Equation generl solution

Hello everyone!

What's the general "2 series" solution of bessels equation?

Is it $c_0J_{\nu} + c_1J_{-\nu}$ or is it $c_0J_{\nu} + c_1Y_{\nu}$?
And why?

2. If $\nu$ is non integer $J_{\nu}$ and $J_{-\nu}$ are independent so that the solution is $y=c_{1} J_{\nu} + c_{2} J_{-\nu}$. If $\nu$ is integer the problem is a little more complicated and requires a little more time...

Kind regards

$\chi$ $\sigma$

3. If is integer the problem is a little more complicated and requires a little more time...
Aaah... So you mean that if $\nu$ is an integer the general solution for the equation is $y=c_0J_{\nu}+c_1Y_{\nu}$ because $J_{\nu}$ and $J_{-\nu}$ are linerearily dependent. Right?

4. Yes!!!...

Kind regards

$\chi$ $\sigma$