Given the differential equation: Choose all correct answers. A (x²-1) y" - 6x y¹ + 12y=0 D The recurrence relation is given by: (n-2)(n-3) C C n+2 (n+2) (n+3) n y=c (1+6x4+x³) +c₂(x+x² + x³) (C) y=c (1+6x²+x4) +c₁(x+x³) = The recurrence relation is given by: C n+2 = (n-3)(n-4) (n+1) (n + 2) C n n = 0,1,2,... n=0,1,2,...

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
Given the differential equation:
Choose all correct answers.
A
(x²-1) y" - 6x y¹ + 12y=0
D
The recurrence relation is given by:
(n-2)(n-3)
C
C
n+2 (n+2) (n+3) n
y=c (1+6x4+x³) +c₂(x+x² + x³)
(C) y=c (1+6x²+x4) +c₁(x+x³)
=
The recurrence relation is given by:
C
n+2
=
(n-3)(n-4)
(n+1) (n + 2)
C
n
n = 0,1,2,...
n=0,1,2,...
Transcribed Image Text:Given the differential equation: Choose all correct answers. A (x²-1) y" - 6x y¹ + 12y=0 D The recurrence relation is given by: (n-2)(n-3) C C n+2 (n+2) (n+3) n y=c (1+6x4+x³) +c₂(x+x² + x³) (C) y=c (1+6x²+x4) +c₁(x+x³) = The recurrence relation is given by: C n+2 = (n-3)(n-4) (n+1) (n + 2) C n n = 0,1,2,... n=0,1,2,...
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