Which of the following is the reduction (recurrence) relation obtained for n > 2using the power series around the point x = 2 of the y' +3 y' = 0 differentialequation?"p (Bnín=1}3 an-23n an-c) an n-1}(n=2}3(n-1)4n-1d) ann(n-1)3(n-2)an-2n(n-1)e) an Lety(x) =n=0be a power series solution of the differential equation+ xy 0dxdx2Then which of the following relation can be obtained when power series methodapplied to the differential equation about x=0?1-ca) c2 =b) cz =c) C2 C13-C1e) C2 =1-

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Which of the following is the reduction (recurrence) relation obtained for n > 2 using the power series around the point x # 2 of the y' +3 y' = 0 differential equation? 3an-1 "p (B nin-1} 3 an-2 3n an- c) an (n-1)n=2). d) an 3(n-1)an-1 n(n-1) 3(n-2)an-2 e) an n(n-1)

Which of the following is the reduction (recurrence) relation obtained for n > 2 using the power series around the point x # 2 of the y' +3 y' = 0 differential equation? 3an-1 "p (B nin-1} 3 an-2 3n an- c) an (n-1)n=2). d) an 3(n-1)an-1 n(n-1) 3(n-2)an-2 e) an n(n-1)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which of the following is the reduction (recurrence) relation obtained for n > 2
using the power series around the point x = 2 of the y' +3 y' = 0 differential
equation?
"p (B
nín=1}
3 an-2
3n an-
c) an n-1}(n=2}
3(n-1)4n-1
d) an
n(n-1)
3(n-2)an-2
n(n-1)
e) an

Let
y(x) =
n=0
be a power series solution of the differential equation
+ xy 0
dx
dx2
Then which of the following relation can be obtained when power series method
applied to the differential equation about x=0?
1-c
a) c2 =
b) cz =
c) C2 C1
3-C1
e) C2 =1-

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