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y (5) +y (4)-y'-y=0, y (0)=0, y'(0)=0, y" (0)=1, y 3) (0) =0, y (4) (0)=0

y (5) +y (4)-y'-y=0, y (0)=0, y'(0)=0, y" (0)=1, y 3) (0) =0, y (4) (0)=0

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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Consider the following fifth-order linear homogeneous initial value problem with constant coefficients: y (5) +y (4)-y'-y=0, y (0)=0, y'(0)=0, y" (0) = 1, y 3) (0)=0, y (4) (0)=0 Hide answer choices The solution is given by: Ay=(1/4) e* + (1/4) e-(1/2) cos(x) The solution is given by: y=(1/4) xe¹ + (1/8) e-(3/8)e+ (1/4) cos(x) + (1/4) sin(x) The solution is given by: y=(1/8) e*- (3/8) e-(1/4) xe+ (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/4) xe + (1/8) e-(3/8) e¹+ (1/2) cos(x) + (1/2) sin(x)
Transcribed Image Text:Consider the following fifth-order linear homogeneous initial value problem with constant coefficients: y (5) +y (4)-y'-y=0, y (0)=0, y'(0)=0, y" (0) = 1, y 3) (0)=0, y (4) (0)=0 Hide answer choices The solution is given by: Ay=(1/4) e* + (1/4) e-(1/2) cos(x) The solution is given by: y=(1/4) xe¹ + (1/8) e-(3/8)e+ (1/4) cos(x) + (1/4) sin(x) The solution is given by: y=(1/8) e*- (3/8) e-(1/4) xe+ (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/4) xe + (1/8) e-(3/8) e¹+ (1/2) cos(x) + (1/2) sin(x)
E F G H The solution is given by y = (1/4).xe* + (1/8) e-(3/8) e* + (1/2) cos(x) + (1/2) sin(x) The solution is given by: y=(1/4).xe* + (1/8)e- (3/8) e* + (1/2) cos(x) - (1/2) sin(x) The solution is given by: y=(1/8) e* + (5/8) e+ (1/4) xe - (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/4) e*- (1/4) e+ (1/2) sin(x) The solution is given by: y=(5/8) e* + (1/8) e*- (1/4) xe*+ (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/8) e* + (5/8) e*+ (1/4) xe*+ (1/4) cos(x) + (1/4) sin(x) The solution is given by: y=(1/4) e*- (1/4) e*- (1/2) sin(x)
Transcribed Image Text:E F G H The solution is given by y = (1/4).xe* + (1/8) e-(3/8) e* + (1/2) cos(x) + (1/2) sin(x) The solution is given by: y=(1/4).xe* + (1/8)e- (3/8) e* + (1/2) cos(x) - (1/2) sin(x) The solution is given by: y=(1/8) e* + (5/8) e+ (1/4) xe - (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/4) e*- (1/4) e+ (1/2) sin(x) The solution is given by: y=(5/8) e* + (1/8) e*- (1/4) xe*+ (1/4) cos(x) - (1/4) sin(x) The solution is given by: y=(1/8) e* + (5/8) e*+ (1/4) xe*+ (1/4) cos(x) + (1/4) sin(x) The solution is given by: y=(1/4) e*- (1/4) e*- (1/2) sin(x)
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