I am solving a differential equation using the Frobenius method, however halfway through, I have introduced a new power series. I have been told that I need to show the radius of convergence of this series. Why would I have to do that?
I am solving a differential equation using the Frobenius method, however halfway through, I have introduced a new power series. I have been told that I need to show the radius of convergence of this series. Why would I have to do that?
So that you know when it converges For instance, if you introduced a power series whose radius of convergence is zero, your solution isn't going to be of much use.
Without knowing more details I can't give you much more of a helpful answer than this!
So that you know when it converges For instance, if you introduced a power series whose radius of convergence is zero, your solution isn't going to be of much use.
Without knowing more details I can't give you much more of a helpful answer than this!
It's that same differential equation I've been working on for the past, what, 2 weeks? 3 weeks?
I still can't seem to solve it.
This was just because I got told that I needed to make a point about the radius of convergence.
Seeing as your online, please could you help me wit it.I am really stuck on one bit about solving DE's using Frobenius. I have a recurrance relation as:
2mh2(λ)(λ+1)bλ+2−Abλ+1+(E−Aa)bλ=0
Where h , A < 0 and a and E are constants. How do I solve this from here? I can solve DE's using power series if there are two "unkowns" but how do I do it using three?