Obtain the recurrene relation between the coefficient ar in the series solution
y= (between r=0 and [tex]\infty[/tex]) [tex]\Sigma[/tex] arxr
Deduce that if k is a positive integer, then ak+2=0, so that the equation possesses a solution which is a polynomial of degree k.
(there is more to this question....but i think ill try getting through this bit first!)
The Attempt at a Solution
I have managed to get the correct recurrance relation
But i have no idea what to do now (the show if k is a positive integer) etc :-(