Question 8 Given the differential equation: A y=c,(1+x arctan(x)) +c Ⓡ (1+x2) y + 2xy - 2y=0 The recurrence relation is given by: y=co *+27(- Ca The recurrence relation is given by: *+2=(- arctan(x) +c rẻ 1+n 1-n n -) c 1+n n=0,1,2,... n=0,1,2,...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Question 8
Given the differential equation:
A
B
(1+x2) y + 2xy - 2y=0
y=c,(1+x arctan(x)) +c
The recurrence relation is given by:
3
n+27 (₁)
11
The recurrence relation is given by:
1-n
1+n
+27(-
y=carctan(x) +c₁x²
1+n
n=0,1,2,...
n=0,1,2,...
Transcribed Image Text:Question 8 Given the differential equation: A B (1+x2) y + 2xy - 2y=0 y=c,(1+x arctan(x)) +c The recurrence relation is given by: 3 n+27 (₁) 11 The recurrence relation is given by: 1-n 1+n +27(- y=carctan(x) +c₁x² 1+n n=0,1,2,... n=0,1,2,...
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