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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:

Consider the IVP y"(t) − 2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is:

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 IVP y"(t) − 2y'(t) + 5y(t) = 0, y(0)=-1, y'(0)=3 (a) The characteristic equation of the DE is:
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:
OD. 1+2i, 1–2; OE. None of the given answers is correct (c) The general solution of the DE is: OA C₁ e' cos (21) + C₂ e ¹ sin (21) OB. 5 ₁.000 (2) ₂ (2) e cos + e OD. OC. C₁ e OD. C₁e¹+ C₂ e OE. None of the given answers is correct -1+G₂ e St (d) The solution of the IVP is:: OA. OB. OC. 3 2² - 3t t 'cos (2t) + 2 e ¹ sin (2t) <-3t COS +8e sin 5 OE. None of the given answers is correct
Transcribed Image Text:OD. 1+2i, 1–2; OE. None of the given answers is correct (c) The general solution of the DE is: OA C₁ e' cos (21) + C₂ e ¹ sin (21) OB. 5 ₁.000 (2) ₂ (2) e cos + e OD. OC. C₁ e OD. C₁e¹+ C₂ e OE. None of the given answers is correct -1+G₂ e St (d) The solution of the IVP is:: OA. OB. OC. 3 2² - 3t t 'cos (2t) + 2 e ¹ sin (2t) <-3t COS +8e sin 5 OE. None of the given answers is correct
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