Given the differential equation: (x²-1) y" - 6x y + 12y=0 Choose all correct answers. Ay=c(1+6x²+x¹) +c₁(x+x³) By=c(1+6x¹+x³) +c, (x+x²+x³) The recurrence relation is given by: The recurrence relation is given by: С n+2 (n-2)(n-3) C (n+2)(n+3) " = (n-3)(n-4) C (n+1)(n+2) " n=0,1,2,... n=0,1,2,...
Given the differential equation: (x²-1) y" - 6x y + 12y=0 Choose all correct answers. Ay=c(1+6x²+x¹) +c₁(x+x³) By=c(1+6x¹+x³) +c, (x+x²+x³) The recurrence relation is given by: The recurrence relation is given by: С n+2 (n-2)(n-3) C (n+2)(n+3) " = (n-3)(n-4) C (n+1)(n+2) " n=0,1,2,... n=0,1,2,...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 58E
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Transcribed Image Text:Given the differential equation:
(x²-1) y" - 6x y' +12y=0
Choose all correct answers.
Ay=c(1+6x²+x¹) +c₁(x+x³)
By=c (1+6x¹+x³) +c₁(x+x²+x²³)
The recurrence relation is given by:
The recurrence relation is given by:
С
=
(n-2)(n-3)
C
(n+2)(n+3) "
n+2²
(n-3)(n-4)
C
(n+1)(n+2) -
n=0,1,2,...
. n=0,1,2,...
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