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Question: Taylor series perurbation expansion

Question:Taylor series perurbation expansion

Al86 145 Maple 2017
series taylor
April 09 2018
0

I have the following pertubation problem I want to use maple to expand for me.

 

We have epsilon := eps;

x(t,eps):= x_{-1}(t)/eps+x_0(t)+x_1(t)*eps

z(t,eps):=z_{-1}(t)/eps+z_0(t)+z_1(t)*eps

I want to expand a Taylor series of the following function upto some arbitray order of eps, i.e O(eps^3) or higher (depending on my mood :-)), around t=0, f(x(t,eps),z(t,eps),cos(t/eps),sin(t/eps)).

 

Anyone has any suggestion how to use maple 2017.3 to do this?

Thanks!

 

 
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