Find the power series in x-xo?

Math10
Messages
301
Reaction score
0

Homework Statement


Find the power series in x-x0 for the general solution of y"-y=0; x0=3.

Homework Equations


None.

The Attempt at a Solution


I'll post my work by uploading it.
 
Physics news on Phys.org
This is my work.
 

Attachments

  • 20160916_180333.jpg
    20160916_180333.jpg
    39.2 KB · Views: 370
And the answer is
 

Attachments

  • 20160916_180959.jpg
    20160916_180959.jpg
    21.8 KB · Views: 375
Math10 said:

Homework Statement


Find the power series in x-x0 for the general solution of y"-y=0; x0=3.

Homework Equations


None.

The Attempt at a Solution


I'll post my work by uploading it.

Don't bother; most helpers will not read it. If you want help the safest way is to type out the solution, which is the PF standard, anyway.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top