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- May 18th 2008, 06:51 PMszpengchaosolve this Differential equation by indicial equation
- May 18th 2008, 06:55 PMmr fantastic
- May 18th 2008, 07:02 PMszpengchaoproblem
i have problem with the first part

- May 18th 2008, 07:11 PMTheEmptySet
- May 18th 2008, 07:15 PMszpengchaono
no...i mean the 1st question...not the second

- May 18th 2008, 07:23 PMTheEmptySet
- May 18th 2008, 07:24 PMszpengchaoyeah
yeah.... i have problem with choosing point for this particular question...

would you like to post ur steps? - May 18th 2008, 07:45 PMszpengchaochoosing ordinary point
well, x=0 is a regular singular point, right?

then , i set y= sigma( A_n * x^(n+b)) into the equation. then i got something like:

sigma( A_n * (n^2+1) = 0) well, this means A_n = 0 for all n...then how can i continue? - May 18th 2008, 08:34 PMTheEmptySet
- May 18th 2008, 08:36 PMszpengchaoyup
yup...then? how can that be zero?

- May 18th 2008, 08:49 PMTheEmptySet
- May 18th 2008, 10:13 PMmr fantastic
- May 19th 2008, 01:21 AMmr fantastic
- May 19th 2008, 08:56 AMTheEmptySet
Thanks Mr. Fantastic,

I forgot that in this method so

so

Then the rest follows.

Thanks again!(Clapping)