Hi, I have an exam on differential equation soon, so i was wondering if someone can help me with the power series methods, ordinary points and frobenius.

Like, after you've generated the series, like for example, $\displaystyle a_0 = 1, a_1 = 2x etc $

is there an easy way to find the relationship in terms of a sum, that can be applied to all questions.?

Like all i know is:

to generate even coefficients in the denominator multiply by:

$\displaystyle \frac{1}{(2n)!} $

to generate odd coefficients in the denominator multiply by:

$\displaystyle \frac{1}{(2n+1)!} $

So are there any more tricks that could help me? or is that it??

thank you