# Show that the power series is the solution to the differential equation

• December 4th 2012, 10:37 PM
bondvalencebond
Show that the power series is the solution to the differential equation
I know http://www.codecogs.com/gif.latex? y...^nx^n}{(n!)^2}
But I can't seem to simplify the rest or even know what to do when I do. I understand how to FIND the power series but I can't figure out how to go backwards.