Did you figure this out?

Aaron Meurer

On Thu, Mar 13, 2014 at 4:26 PM, Kundan Kumar
<[email protected]> wrote:
> Hi,
> I am implementing nth order euler non homogeneous equation (homogeneous has
> already been implemented). But I am unable to understand what is key of
> "match" used in each function. From already implemented homogeneous euler
> equation, I got to know that match.keys also contain the order of each
> differential term (like shown in code below) along with the matching terms
> of type of ODEs.
>
> for i in r.keys():
>         if not isinstance(i, str) and i >= 0:
>             chareq += (r[i]*diff(x**symbol, x, i)*x**-symbol).expand()
> (this is for converting a differential eq to polynomial and then simplifying
> it by replacing f(x) by x**symbol, where symbol = Dummy('x'))
>
> homogeneous eq:       a*x^2*f(x).diff(x,2) + b*x*f(x).diff(x) + c*f(x) = 0
> non homogeneous eq: a*x^2*f(x).diff(x,2) + b*x*f(x).diff(x) + c*f(x) = g(x)
>
> this is the code under "ode_nth_linear_euler_eq_homogeneous" under L3178
> I am using the same code for non homogeneous but there I have extra g(x)
> term and I am unable to decide what r.keys() has in itself for g(x) as g(x)
> has x**(power) term.
>
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