Taylor series of an abstract function

Question:Taylor series of an abstract function

Posted: Tripedior 5 Product: Maple 18

October 13 2016

Hey all,

my goal is to get a taylor expansion in Maple up to n-th order of a function y(t) (not defined in more detail, just abstract).

I want to taylor this function around t_n, and I want the series for t_n+1=t_n + h. I would expect to get (as an example: 4th order)

y(t_n+1) ≈ y(t_n) + h* y'(t_n) + h²/2*y''(t_n) + h3/6*y'''(tn) + O(h⁴).

My command was:

and I get:

Can someone maybe point out what I am doing wrong and how I can fix it?

Thanks in advance!

Tim

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