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anonymous
 4 years ago
Solve the differential equation by means of power series about the ordinary point x=0.
(1+x^2)y''4xy'+6y=0
anonymous
 4 years ago
Solve the differential equation by means of power series about the ordinary point x=0. (1+x^2)y''4xy'+6y=0

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anonymous
 4 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
 4 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
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