# Toronto Math Forum

## APM346-2012 => APM346 Math => Misc Math => Topic started by: Chiara Moraglia on December 01, 2012, 11:21:45 PM

Title: lecture 30
Post by: Chiara Moraglia on December 01, 2012, 11:21:45 PM
Hi,

I tried solving the Euler ODE (3) in the lecture 30 notes, but by plugging in P:=Ïm as usual I obtained Î»=m(m+1) from the characteristic equation not Î»=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!
Title: Re: lecture 30
Post by: Victor Ivrii on December 02, 2012, 01:25:35 AM
Hi,

I tried solving the Euler ODE (3) in the lecture 30 notes, but by plugging in P:=Ïm as usual I obtained Î»=m(m+1) from the characteristic equation not Î»=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 (http://www.math.toronto.edu/courses/apm346h1/20129//L30.html#mjx-eqn-eq-3)). Thanks for spotting
Title: Re: lecture 30
Post by: Chiara Moraglia on December 02, 2012, 12:37:22 PM
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!
Title: Re: lecture 30
Post by: Victor Ivrii on December 02, 2012, 01:22:18 PM
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 $l$).