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Regular Perturbation series question
Posted:
Feb 6, 2012 3:48 PM


Hi,
I am trying to find the soln to: (i) (1+x)^3 = e*x where e<<1 using a regular perturbation series.
When I try substituting in the regular perturbation series: (ii) x = x0 + e*x1 + e^2*e2 +... I cannot get a solution
If I try to rewrite it as: (iii) 1 + x = e^(1/3) x^(1/3) substitute (ii) into (iii) and expand out the RHS using the generalized binomial formula, I cannot get the powers of e to match up.
I know there is a soln to this problem, but I can't see what I'm messing help. Can anyone give me a hint as to what I am doing wrong or missing?
TIA, Matt



