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D E F If y (0) = 0, y '(0) = 1, y '' (0) = -1 √√3 2 -2 3. is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: then y=(- -) e (-¹/2) sin( -*/2 ex, ex/2 sin ( е 3 √3 2 then y=(1 -x), e 27/7) e x + x) -x/2 cos ( y=0 is solution of the given differential equation: y (3) - y = 0 √√3 2 If y (0)=0, y '(0) = 1, y '' (0) = -1 √√3 2 is a solution of the associated initial value problem. (-1/2) sin( -x) x)

D E F If y (0) = 0, y '(0) = 1, y '' (0) = -1 √√3 2 -2 3. is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: then y=(- -) e (-¹/2) sin( -*/2 ex, ex/2 sin ( е 3 √3 2 then y=(1 -x), e 27/7) e x + x) -x/2 cos ( y=0 is solution of the given differential equation: y (3) - y = 0 √√3 2 If y (0)=0, y '(0) = 1, y '' (0) = -1 √√3 2 is a solution of the associated initial value problem. (-1/2) sin( -x) x)

Advanced Engineering Mathematics
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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E F If y (0) = 0, y '(0) = 1, y '' (0) = -1 √√3 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: √3x). e/2 cos( √√3 -x), 2 2 then y=(-) e -2) e (-1/2) sin( e*, e-*/2 sin ( et If y (0)=0, y '(0) = 1, y '' (0) = − 1 √√3 then y=(: 2 y=0 is solution of the given differential equation: y (3) - y = 0 (-1/2) sin( x + x) 2 (7) e is a solution of the associated initial value problem. -x) - x)
Transcribed Image Text:E F If y (0) = 0, y '(0) = 1, y '' (0) = -1 √√3 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: √3x). e/2 cos( √√3 -x), 2 2 then y=(-) e -2) e (-1/2) sin( e*, e-*/2 sin ( et If y (0)=0, y '(0) = 1, y '' (0) = − 1 √√3 then y=(: 2 y=0 is solution of the given differential equation: y (3) - y = 0 (-1/2) sin( x + x) 2 (7) e is a solution of the associated initial value problem. -x) - x)
Given the third-order linear homogeneous differential equation: y (3)-y=0 Select all correct answers A Three linearly independent solutions of the given differential equation are: ex, e -*/2xe X/2 Three linearly independent solutions of the given differential equation are: √√3 x), e*/2 cos ( √√3 2 2 ex, e*/2 sin(- If y (0)=0, y '(0) = 1, y'' (0) = − 1 √√3 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: (²) e (-1/2) sin ( then y=(- √√3 -x). e 1/20 ex. e-x/2 sin (- x) x + x) co cos ( √√3
Transcribed Image Text:Given the third-order linear homogeneous differential equation: y (3)-y=0 Select all correct answers A Three linearly independent solutions of the given differential equation are: ex, e -*/2xe X/2 Three linearly independent solutions of the given differential equation are: √√3 x), e*/2 cos ( √√3 2 2 ex, e*/2 sin(- If y (0)=0, y '(0) = 1, y'' (0) = − 1 √√3 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: (²) e (-1/2) sin ( then y=(- √√3 -x). e 1/20 ex. e-x/2 sin (- x) x + x) co cos ( √√3
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