y" + (x - 3)y' = 0 Plug in the appropriate power series for "y" and "y'" in order to convert the differential equation into a power series. 00 E (n - 1)A,x(n - 2) E na, x(a - 1) EA,x" = 0 n = 2 n =0 00 00 Σ 00 ® E» (n – 1) A, xln - 2) + 2 nA, x" 3n A x(" - 1) = o n = 2 00 En (n - 1) A, x( - 2) E (x - 3) n A x(u - 1!) = 0 n = 2 n = 1 O E- (n - 1) A, x(u - 2) - E 3 n A, xla - 1) 2 3n A x(" - 1) n = 2 00 E n (n – 1) (x – 3) A, xu - 3) = 0 n = 2
y" + (x - 3)y' = 0 Plug in the appropriate power series for "y" and "y'" in order to convert the differential equation into a power series. 00 E (n - 1)A,x(n - 2) E na, x(a - 1) EA,x" = 0 n = 2 n =0 00 00 Σ 00 ® E» (n – 1) A, xln - 2) + 2 nA, x" 3n A x(" - 1) = o n = 2 00 En (n - 1) A, x( - 2) E (x - 3) n A x(u - 1!) = 0 n = 2 n = 1 O E- (n - 1) A, x(u - 2) - E 3 n A, xla - 1) 2 3n A x(" - 1) n = 2 00 E n (n – 1) (x – 3) A, xu - 3) = 0 n = 2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
q17
![Given the following differential equation
y" + (x - 3)y' = 0
Plug in the appropriate power series for "y" and "y" in order to convert the differential equation into a power series.
00
A
En (n - 1) A, x" - 2)
E na, xla - 1)
ΣΑ
A x"
n = 2
n = 1
n =0
2n (n – 1) A xlu – 2)
Σ
Σ
B
2 n A x"
3 n A x" - 1) = 0
n = 2
n = 1
n = 1
00
En (n - 1) A xln - 2)
E (x - 3) n A x(" - 1) = 0
n = 2
n = 1
O i (u - 1)4, al -) - an4,al-) - --
00
D
n = 2
En (n – 1) A, x(« - 2)
Σ 3nΑ x-1)
n = 1
00
En (n - 1) (x - 3) A, x(u - 3) = 0
n = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25002bdf-f87e-4b90-9220-df81045dfb4e%2Fdd65c77c-2c1b-4758-8287-4aab0baf0fa8%2F966dgxj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following differential equation
y" + (x - 3)y' = 0
Plug in the appropriate power series for "y" and "y" in order to convert the differential equation into a power series.
00
A
En (n - 1) A, x" - 2)
E na, xla - 1)
ΣΑ
A x"
n = 2
n = 1
n =0
2n (n – 1) A xlu – 2)
Σ
Σ
B
2 n A x"
3 n A x" - 1) = 0
n = 2
n = 1
n = 1
00
En (n - 1) A xln - 2)
E (x - 3) n A x(" - 1) = 0
n = 2
n = 1
O i (u - 1)4, al -) - an4,al-) - --
00
D
n = 2
En (n – 1) A, x(« - 2)
Σ 3nΑ x-1)
n = 1
00
En (n - 1) (x - 3) A, x(u - 3) = 0
n = 2
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