ok im not sure how to start this problem....

the term in front of the y'' is messing me up...any thoughts? anybody? thanks in advance

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- Apr 9th 2011, 01:13 PMslapmaxwell1find the solution...
ok im not sure how to start this problem....

the term in front of the y'' is messing me up...any thoughts? anybody? thanks in advance - Apr 9th 2011, 01:32 PMtopsquark
This is the Legendre differential equation. Use a power series solution.

-Dan - Apr 10th 2011, 03:34 PMslapmaxwell1
- Apr 10th 2011, 05:29 PMtopsquark
I'm not getting your recursion relation. Let me briefly plot out my own work. I am putting l(l + 1) = 90.

So

Change the dummy variable in the first term:

(Note that the first two terms of the first sum are 0. So relabeling...)

Or (Thank God for cut and paste!)

Giving

-Dan - Apr 10th 2011, 09:26 PMslapmaxwell1
ok i was kinda close..im gonna go back over my work and try to see where i went wrong....

- Apr 18th 2011, 12:38 AMslapmaxwell1find the solution revisited....
ok so in this problem i think i am getting it, i just need help simplifying the problem down..

here is the problem..

http://latex.codecogs.com/gif.latex?...2xy'+90y=0

this is what i got so far....

http://latex.codecogs.com/gif.latex?...y}a_{n}x^{n}=0

i need to get this problem down to where i can solve for

[IMG]a_{n+2}[/IMG]

any help would be greatly appreciated... - Apr 18th 2011, 02:31 AMchisigma
Let's suppose to search a solution in the form...

http://quicklatex.com/cache3/ql_3959...709e4a9_l3.png (1)

... and to know the 'initial conditions' and ... the others are found from the DE as follows...

http://quicklatex.com/cache3/ql_857f...70878da_l3.png

http://quicklatex.com/cache3/ql_c551...33facb6_l3.png

... and so one...

Please revise my computation [and also try to procede...] because an 'old wolf' like me doesn't excell in computation (Thinking)...

Kind regards

- Apr 18th 2011, 06:02 AMtopsquark
Is there something wrong with your original thread?

Please do not double post. If you have more questions about a problem then post them in the original thread.

-Dan

[MODERATOR EDIT]: I have merged the threads.