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).