Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation
Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation
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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Question
c and d
Transcribed Image Text:(c) The general solution of the DE is:
OA. C₁ e ²¹+ C₂te ²1
21
OB. C₁+C₂ e ¹
в.
O C.
OD.
ܘܐܐܘ
t
2
C₁ e ² + C₂te
C₁ + C₂ e¹
OE. None of the answers is correct
(d) The solution of the IVP is:
OA. 1- e-t
O B.
te
t
2
OC. -1+ et
O.D. te 2t
OE. None of the answers is correct
SHIRINIGING
Transcribed Image Text:Consider the IVP:
4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0)=1
(a) The characteristic equation
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