Find the general solution of y" + xy = 0 by power series method A) -1 RF (recurrence formula): a,2 %3D (n+2)(n+1) y = a, x' + x+ 504 6. 180 B) RF: a..= a, (n+2) 8. y =a, ... 15 105 -1 RF: a,+2 = (n+2) 1 --x + 18 y = a, 1 ... D) n-1 RF: 4.2 (n+2)(n + 1) (n+ 2)(n + 1) x*+ x + 24 20 y = +.. 12 120

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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361令0
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Find the general solution of y" + xy = 0 by power series method
A)
RF (recurrence formula): a2 =
-1
a,-1
(n+ 2)(n +1)
1
y = a,1--x' +
180
x'+
504
12
B)
RF: a,2=
(n+2)
y =
105
C)
-1
RF: a,.=+2"--
x +... + a, x
y = a1-
3
r +...
28
+
18
4
D)
n-1
1
RF: a..:=
(n+2)(n + 1)
a,
(n+ 2)(n + 1)
+
120
PAGE 1 OF 1
50%
SOLVE
Transcribed Image Text:361令0 36% 9:59 Find the general solution of y" + xy = 0 by power series method A) RF (recurrence formula): a2 = -1 a,-1 (n+ 2)(n +1) 1 y = a,1--x' + 180 x'+ 504 12 B) RF: a,2= (n+2) y = 105 C) -1 RF: a,.=+2"-- x +... + a, x y = a1- 3 r +... 28 + 18 4 D) n-1 1 RF: a..:= (n+2)(n + 1) a, (n+ 2)(n + 1) + 120 PAGE 1 OF 1 50% SOLVE
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