ecuació diferencial series

x^{m+1}·d_{x...(m)...x}^{m}[y(x)] = y(x)


y(x) = ∑ ( (1/k!)·(k+m)!·x^{((k+1)+m)} )


x^{m+1}·d_{x...(m)...x}^{m}[ ∑ ( (1/k!)·(k+m)!·x^{((k+1)+m)} ) ] = ...
... ∑ ( (1/(k+1)!)·((k+1)+m)!·x^{((k+2)+m)} ) = ...
... ∑ ( (1/p!)·(p+m)!·x^{((p+1)+m)} ) & p = k+1