Given the power series expression 00 2 3 A x" + 2 2A x" n = 1 n = 3 1. Force the first power series to start at "n = 3" 2. Combine the two power series together into a single power series. A 9A2 2 5 A n = 3 B 3 A, + 3A2 [S4.] *" + 1 n = 3 © 2 [$4. * x" n = 3 00 34, + 34, + 2 5A4] *" Σ n = 3 6 A, + n = 3 Σ 5A, [s4.] ** 00 O 34, + 34, + * (^.)*] *" 1 n = 3
Given the power series expression 00 2 3 A x" + 2 2A x" n = 1 n = 3 1. Force the first power series to start at "n = 3" 2. Combine the two power series together into a single power series. A 9A2 2 5 A n = 3 B 3 A, + 3A2 [S4.] *" + 1 n = 3 © 2 [$4. * x" n = 3 00 34, + 34, + 2 5A4] *" Σ n = 3 6 A, + n = 3 Σ 5A, [s4.] ** 00 O 34, + 34, + * (^.)*] *" 1 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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Question
q12
![Given the power series expression
00
2 3 A x" +
2 2A x"
n = 1
n = 3
1. Force the first power series to start at "n = 3"
2. Combine the two power series together into a single power series.
A
9 A2
2 5 A
+
n = 3
B
3A, + 3A, + E 5 4,] a"
1
n = 3
© 2 [$4. *
x"
n = 3
00
34, +3A, + E SA] x"
n = 3
(E)
6 A, +
2 5A
n = 3
00
O 34, + 34, + * (^.)*] *"
1
n = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25002bdf-f87e-4b90-9220-df81045dfb4e%2F743fed72-19ab-44b6-af9c-900ef4295117%2Fta9o7z8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the power series expression
00
2 3 A x" +
2 2A x"
n = 1
n = 3
1. Force the first power series to start at "n = 3"
2. Combine the two power series together into a single power series.
A
9 A2
2 5 A
+
n = 3
B
3A, + 3A, + E 5 4,] a"
1
n = 3
© 2 [$4. *
x"
n = 3
00
34, +3A, + E SA] x"
n = 3
(E)
6 A, +
2 5A
n = 3
00
O 34, + 34, + * (^.)*] *"
1
n = 3
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