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Question: How to program the following three-steps with Maple

Question:How to program the following three-steps with Maple

Lonely 400 Maple
sum diff range collect
December 13 2011
0

 

How may I program the following with Maple?

 

(1) Define the function:

H(p) := p * c1 + p^2 * c2 + p^3 * c3  + ......

 

(2) Now construct the following expression:

 

(1-p) [ v''' + 1 ]  = H(p) [ v''' - 25 * v' + 1]

Here, v is some funciton of x.

 

(3) Now assume: v = u0 + u1 * p + u2 * p^2 + ...

and substitute this into the expression defined at the point (2).

Rearrange the expression and collect the coefficients of different powers of p.

 

Thank you so very much.
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