ok i really hate asking these series question because i know how much of a pain they are to answer on this thing. ok this questions requires the use of the frobenius method to find the 2 independent solution of the following equation.
(X^2)y"+(e^-x)y'-y=0 around the point x=0
well if someone could give me a hand with this one it'll me nice, if not can someone else tell me the series of e^-x is because i do not recall it because you need to write e^-x as a series that i know.
i got one more,
3(x+2)^2y" + 4(x+2)y' + xy = 0
this one also asks for 2 independent solution but i don't think you need the forbenius method for this, if some one could just give be some quick direction one how to solve this one i don't need a full solution. Thanks alot