solving bessel equation numerically. Assuming there's an equation (bessel) and I'm told to solve numerically. This means, to solve this type of equation, we must convert the equation to a system of first order ODE's by letting $z=y'$ and $z'=y''$. Now, assuming this is the bessel equation: $$x^2y''+xy'+(x^2-(3^2))y=0$$ But I need the initial conditions to do the conversion. How can I find the initial condition so as to be able to solve it numerically?
The Initial Conditions is not needed to do the conversion unless you want to use Euler's method. In the case of writing a program, any initial conditions can be used if not given and after , you compare it with the actual or theoretical solution
The Initial Conditions is not needed to do the conversion unless you want to use Euler's method. In the case of writing a program, any initial conditions can be used if not given and after , you compare it with the actual or theoretical solution