Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Solve the differential equation by means of power series about the ordinary point x=0.
(1+x^2)y''4xy'+6y=0
 one year ago
 one year ago
Solve the differential equation by means of power series about the ordinary point x=0. (1+x^2)y''4xy'+6y=0
 one year ago
 one year ago

This Question is Closed

edr1cBest ResponseYou've already chosen the best response.0
I'd found the recursion formula to be\[a _{m+2}=\frac{(m2)(m3)a _{m}}{(m+2)(m+1)}\] from \[y=\sum_{m=0}^{\infty}a _{m}x ^{m}\] using \[a _{0},a _{1}\]as arbitary holders, my answer for m=2 onwards are 0, ie at m=2, \[a _{4}=0\] at m=3, \[a _{5}=0\] am i doing the question correctly?
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
\[ a_2 = \frac{6}{2} a_0 \\ a_3 = \frac 2 6 a_1 \\ a_4 = ...\] I think at this point it's better to use software to find few terms
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.