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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