Solve using the power series method:
Can anyone show the steps to do this?
Let
Then
Now substituing these into the equation gives
Now we take the first term out of the 1st series to get
Now reindex the first series with to get
Now combing the sums gives
Also note that the above equation implies that
Using your intial condition you will find that
With the relation about you can find all of the coeffeints of the power series.