A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Solve the differential equation by means of power series about the ordinary point x=0.
(1+x^2)y''4xy'+6y=0
 2 years ago
Solve the differential equation by means of power series about the ordinary point x=0. (1+x^2)y''4xy'+6y=0

This Question is Closed

edr1c
 2 years ago
Best ResponseYou've already chosen the best response.0I'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?

experimentX
 2 years ago
Best 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
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
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.