Seek a power series solution about of the equation
as far as the term in . Then find a closed-form of the solution (i.e. write the solution using simple functions, in this case arctan, rather than infinite series) by using
It's the closed-form bit that's confusing me, 'cause my answer looks nothing like the arctan thing. The answer I got was
where A is just a constant.
Can anyone help?
Yeah well I got wrong last time I showed my working if I remember rightly 'cause this site's not meant for checking work or something, + it would take an age to type it out in latex with all of the sum signs etc.
I got for all odd , but then I got and then , so so rearranging that I got that .
I then got , and subbing in I got , getting that .
Obviously it's just some little mistake somewhere, cheers though. I actually think I can see my mistake... according to me haha! Oh well, sorted now. Thanks again.