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3. Find the minimum radius of convergence for the power series solution y= È cnx” of the ODE: n=0 (x+1) y (x-1) (x-2X* y=0. x

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First we find singular point. Then find the min radius of convergence. The minimum radius of convergence is the minimum distance between ordinary pont and singular point. wote DOMS. Date GL codi nagy differential equation of the fassen a be yllta (wyl + cows yoo Singular point is a w power serie Shah nad or y so 7 yll (2+1) In the questions The powex sesies solution ne ych Å Go(x-ojn Hos (which is ordinary point] (x-1)Date 1 1 22 Nole -O. 5773 so t -76.5773) . 13 And Rol o.5 -0.25 so + neatest singular ze koint is (nendest singulon point can

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