Given the power series E (n - 3)(n + 1) A, x" n = 1 Use the technique that we covered in this lesson to force the series to start at "n = 3". A 2 (n - 3) (n + 1) A, x" = (A) -4A, r' - 3A,x? + E (n - 3) (n + 1) A, x" n = 1 n = 3 00 E (n - 3)(n + 1) A, x" = -34,1° - 4A,x! - 3A, x? + (n - 3)(n + 1) A, x" 00 n = 1 n = 3 © 2 (n - 3)(n + 1) A,, x" = E (n - 3) (n + 1) A,, x" n = 1 n = 3 O E (n- 3)(n + 1) A, x" = -4A, D - 4A, - 3A, + E (n - 3)(n + 1) A, n = 1 2n n = 3

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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q4

Given the power series
E (n - 3) (n + 1) An *
n = 1
Use the technique that we covered in this lesson to force the series to start at "n = 3".
A 2 (n - 3)(n + 1) A, x" = -4
A, x' - 3A,x2 + £ (n – 3)(n + 1) A,
x"
n = 1
n = 3
00
BE (n - 3)(n + 1) A, x" =
- 3 A, x° - 4 A, x!
- 3 A, x? + 2 (n - 3) (n + 1) A,n
n = 1
n = 3
00
00
E (n - 3) (n + 1) A2
E (n - 3)(n + 1) A2
x"
x"
n = 1
n = 3
O 2 (n - 3)(n + 1) A, x" =
D
-4 A,
- 3А
E (n - 3) (n + 1) A 2, *"
n = 1
n = 3
00
E 2 (n - 3)(n + 1) A, x" = -3x' + 9x2 +
Σ (1-3) (n + 1) A, "
n = 1
n = 3
00
00
f E (n - 3)(n + 1) A, *" =
F
- 4 4, x' - 34,x? + (n - 3) (n + 1) A, x"
E (n - 3)(n + 1) A2,
n = 1
n = 3
+
Transcribed Image Text:Given the power series E (n - 3) (n + 1) An * n = 1 Use the technique that we covered in this lesson to force the series to start at "n = 3". A 2 (n - 3)(n + 1) A, x" = -4 A, x' - 3A,x2 + £ (n – 3)(n + 1) A, x" n = 1 n = 3 00 BE (n - 3)(n + 1) A, x" = - 3 A, x° - 4 A, x! - 3 A, x? + 2 (n - 3) (n + 1) A,n n = 1 n = 3 00 00 E (n - 3) (n + 1) A2 E (n - 3)(n + 1) A2 x" x" n = 1 n = 3 O 2 (n - 3)(n + 1) A, x" = D -4 A, - 3А E (n - 3) (n + 1) A 2, *" n = 1 n = 3 00 E 2 (n - 3)(n + 1) A, x" = -3x' + 9x2 + Σ (1-3) (n + 1) A, " n = 1 n = 3 00 00 f E (n - 3)(n + 1) A, *" = F - 4 4, x' - 34,x? + (n - 3) (n + 1) A, x" E (n - 3)(n + 1) A2, n = 1 n = 3 +
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