x^2 y" + 2 x^2 y' -2y = 0

I need to find the indicial equation and find the values of k but I don't understand how to find po and qo.

Thanks

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- Nov 23rd 2008, 02:42 PMHappy DancerSeries Solutions to 2nd Order DEs HELP!
x^2 y" + 2 x^2 y' -2y = 0

I need to find the indicial equation and find the values of k but I don't understand how to find po and qo.

Thanks - Nov 23rd 2008, 03:35 PMshawsend
To calculate the indicial equation, write it as:

If it's a regular singular point, cannot have it its denominator the factor x to a power higher than 1.

Write

Then it's simple, the indicial equation is:

In your case, it's - Nov 23rd 2008, 04:38 PMHappy Dancer
Sorry I still don't understand how you've got that

- Nov 24th 2008, 04:50 AMshawsend
Ok, your equation is: or

That means

and

That is and . Now just plug it into the indicial equation:

- Nov 24th 2008, 10:58 AMMoo
Please look here : http://www.mathhelpforum.com/math-he...s-problem.html for a similar problem (with a rough method)

- Nov 25th 2008, 10:17 AMHappy Dancer
Thanks, shawsend is it the same for q(x), it also cannot have its denominator the factor x to a power higher than 1.