lecture 30

[Chiara Moraglia]

Hi,

I tried solving the Euler ODE (3) in the lecture 30 notes, but by plugging in P:=ρ^m as usual I obtained λ=m(m+1) from the characteristic equation not λ=l(lm+1) as is given in the notes. I was wondering where this l comes from? Also, in equation (5) m=1 is chosen. Why?

Thank you!

[Victor Ivrii]

Hi,

I tried solving the Euler ODE (3) in the lecture 30 notes, but by plugging in P:=ρ^m as usual I obtained λ=m(m+1) from the characteristic equation not λ=l(lm+1) as is given in the notes. I was wondering where this l comes from? Also, in equation (5) m=1 is chosen. Why?

Thank you!

Because it was a series of misprints after  (30.3). Thanks for spotting

[Chiara Moraglia]

Have the lecture 30 notes been altered? The link above is not working for some reason. The notes in the original link on the homepage still have the 'l' and m=1. Thanks!

[Victor Ivrii]

Have the lecture 30 notes been altered? The link above is not working for some reason. The notes in the original link on the homepage still have the 'l' and m=1. Thanks!

because it was a wrong link--try again. I think I replaced everywhere $m$ by $l$ in this place ($m$ appears later and runs from $-l$ to $l$).