Find a recurrence formula of the n" coefficient of the power series solution to the differential equation y"+2 x y' – 4 y=0 about x, = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a recurrence formula of the n" coefficient of the power series solution to the differential equation
y"+2 x y' – 4 y= 0 about x, = 0.
none
(4–7 n) an+1
an+2-Tn+1)(n+2)
4 a,-2 n an+1
an+2=
(n+1)(n+2)
(4– 2 n) a,
an+2= n+1)(n+2)
(8–7 n) a,
an+2
(n+1)(n+2)
Transcribed Image Text:Find a recurrence formula of the n" coefficient of the power series solution to the differential equation y"+2 x y' – 4 y= 0 about x, = 0. none (4–7 n) an+1 an+2-Tn+1)(n+2) 4 a,-2 n an+1 an+2= (n+1)(n+2) (4– 2 n) a, an+2= n+1)(n+2) (8–7 n) a, an+2 (n+1)(n+2)
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