Find the indicial equation for the DE xy"+y'+10y=0

Question

abb0t · Answer

Wow. using power series!?

loser66 · Answer

you have to state out where you stuck, to this kind of problem, it takes longgggg time to have it done. hehehe. power series??

anonymous · Answer

have a look

anonymous · Answer

yes power series and thank you pgpilot

abb0t · Answer

OMG. To be honest, idk why this is taught, you could easily solve this using Laplace transform.

anonymous · Answer

yeah sorry, i see it doesn't quite match the conditions of your DE

abb0t · Answer

$$y=\sum_{n=0}^{\infty }a_nx^n$$ use this as yur "guess". Find $y'$ and $y''$. Then plug it into your DE.

Distribute, make the appropriate shift changes, etc.,

anonymous · Answer

i know i caught on to laplace very easily but this is a bit harder =/

loser66 · Answer

I am waiting, but it seems no one want to do more on this problem.
Hopefully you can continue my stuff. I am busy now but the solution almost done. If you don't understand at somewhere, let me know

abb0t · Answer

You actually did it. omfg. I guess you deserve a medal. lol

anonymous · Answer

thank you loser66

loser66 · Answer

hihihi..