MATH 219 Video 30 Series solutions about an ordinary point - I

[edengizmen]

Hocam at 27:16 how are a1 and a2 are infinitely differentiable? Also didn't we define analytic functions for series, x and -2 are not series (I'm guessing we can write them as series)? Another question is at 32:35 we choose x=x0=0 but why do we still keep x as a variable in the series representation of the solution and also in |x|<rad.of.conv., when we defined it as 0

[hasancandogan]

Hocam radius of convergence ı bulmak için grafikte sınır noktalarını kapsayıcak şekilde bir daire çizsek ve radiusu öyle bulsak da olur değil mi ?