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Consider the IVP y"(t)-2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is: OA2-2r+5=0 OB. (r-1)(r+3)=0 O C. (r+1)(r-3) = 0 OD. 5r²-2r+1=0 O E. None of the given answers is correct (b) The characteristic roots are: OA. 1+21 1-21 5 B. -1, 3 OC. 1, -3 OD. 1+2i, 1-2i OE. None of the given answers is correct

Consider the IVP y"(t)-2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is: OA2-2r+5=0 OB. (r-1)(r+3)=0 O C. (r+1)(r-3) = 0 OD. 5r²-2r+1=0 O E. None of the given answers is correct (b) The characteristic roots are: OA. 1+21 1-21 5 B. -1, 3 OC. 1, -3 OD. 1+2i, 1-2i OE. None of the given 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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Part a and b
Consider the IVP y"(t)-2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is: OA 2-2r+5=0 OB. (r-1)(r+3)=0 O C. (r+1)(r-3) = 0 OD. 5r²-2r+1=0 O E. None of the given answers is correct (b) The characteristic roots are: OA. 1+21 1-21 5 B. -1, 3 OC. 1, -3 OD. 1+2i, 1-2i OE. None of the given answers is correct
Transcribed Image Text:Consider the IVP y"(t)-2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is: OA 2-2r+5=0 OB. (r-1)(r+3)=0 O C. (r+1)(r-3) = 0 OD. 5r²-2r+1=0 O E. None of the given answers is correct (b) The characteristic roots are: OA. 1+21 1-21 5 B. -1, 3 OC. 1, -3 OD. 1+2i, 1-2i OE. None of the given answers is correct
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