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Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation is: OA 2-4r+4=0 OB. r(r-1)=0 OC. r(r+1)=0 OD. 4r²2-4r+1=0 OE. None of the answers is correct (b) The characteristic roots are: OA. 2, 2 OB. 1 1 2' 2 OC. 0, -1 OD. O, 1 OE. None of the answers is correct

Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation is: OA 2-4r+4=0 OB. r(r-1)=0 OC. r(r+1)=0 OD. 4r²2-4r+1=0 OE. None of the answers is correct (b) The characteristic roots are: OA. 2, 2 OB. 1 1 2' 2 OC. 0, -1 OD. O, 1 OE. None of the answers is correct

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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A and b
Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation is: OA²-4r+4=0 OB. r(r-1) = 0 OC. r(r+1) = 0 OD. 4²-4r+1=0 OE. None of the answers is correct (b) The characteristic roots are: OA. 2, 2 OB. 1 1/2 2¹ 2 O C. 0, -1 O D. 0, 1 O E. None of the answers is correct
Transcribed Image Text:Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation is: OA²-4r+4=0 OB. r(r-1) = 0 OC. r(r+1) = 0 OD. 4²-4r+1=0 OE. None of the answers is correct (b) The characteristic roots are: OA. 2, 2 OB. 1 1/2 2¹ 2 O C. 0, -1 O D. 0, 1 O E. None of the answers is correct
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