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Question: Rewriting an expression

Question:Rewriting an expression

mjason 249 Maple
November 30 2008
0

I have an equation which i have differentiated twice and evaluated at eta=1.
F''(eta)=-3*eta+(3*eta^5/20-9*eta/140)*R+(eta^9/840-3*eta^7/140+9*eta^5/1400)*R^2+...
evaluated at 1 we get
F''(1)=-1+3*R/35-394*R^2/40425+4924*R^3/6131125-43969148*R^4/980274920625+...
This equation is derived by an iteration process. Each time it is iterated we add an extra term where the power of R increases by 1.
I want to write R in powers of (F''(1)+3).
How would i go about doing this with maple?
If it is easier to write
F''(1)+3=a*R+b*R^2+c*R^3+d*R^4+...
instead of using the fractions an example would be greatly appreciated using this notation
thanks
mj
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