Given the differential equation y'' - y' = 0 a). Find a recurrence formula for the power series solution around x=0. b). Find the power series representation of the general solution around x=0.
Added by Larry G.
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The derivative y' is then Σn*a_n*x^(n-1) (from n=1 to infinity). We can rewrite these series to have the same index of summation by shifting the index in the second series: y' = Σ(n+1)*a_(n+1)*x^n (from n=0 to infinity). Substituting these into the Show more…
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