Frobenius Equation 1: Almost there

  • Thread starter Thread starter Saladsamurai
  • Start date Start date
  • Tags Tags
    Frobenius
Saladsamurai
Messages
3,009
Reaction score
7

Homework Statement


Hi :smile: I think I am making some good progress on this one, but I am unsure of what the next step is? Can someone give a nudge in the right direction?

Frobenius1.jpg
 
Physics news on Phys.org
Any thoughts on this one? It is the Frobenius case where the roots of the indicial equation differ by an integer. I have used the larger root to find y1(x) and now I am
seeking y2(x) = k*y1(x)*ln(x) + Σdnxn+s1 where s1 is the smaller root that I found. I have to find the dn's and I also have that 'k' to deal with.
 

Thread 'Finding the nth roots of a complex number'

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...
View full post »

Similar threads

Question about the Frobenius method and Bessel functions
Replies
4
Views
2K
Solving differential equation (t^2-1)y''-6y=1
Replies
2
Views
779
Solve Equation with Method of Frobenius
Replies
4
Views
2K
Proving the Frobenius Norm as a Matrix Norm
Replies
2
Views
3K
Method of Frobenius and indicial equations
Replies
4
Views
2K
Frobenius method for Hermite Equation
Replies
2
Views
5K
Frobenius method and Euler equations
Replies
4
Views
2K
Does limit exist as x approaches zero? Frobenius Method DEQ
Replies
4
Views
2K
I Manifold hypersurface foliation and Frobenius theorem
2
Replies
73
Views
6K
Using the Frobenius Method - 2nd order DE
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top