Which of the following is the general solution to the system of differential equations dx Ax, dt #1(t) *2 (t), x (t) = Cie-2t =x¢) = (8). (). where x and A -5 1 + Cze-3t x(t) = Cie-3t + Cze-t x (t) = Cje-4t + Cze-2t x(t) = Cie- t + Cze-2t None of the others H 2 H 21 21 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Which of the following is the general solution to the system of differential equations
dx
dt
where x = x(t) = e)
1(t)
-5
and A:
%3D
*2
-6
().
1
x(t) = Ce-2t
+ Cze-3
x(t) = Ce-3t
+ Cze-
3.
O z¢) = G**(;) +().
x(t) = Cie-4t
+ Cze2
-2t
1
x(t) = Cie-3+ (1
-2t
+ Cze
None of the others
Transcribed Image Text:Which of the following is the general solution to the system of differential equations dx dt where x = x(t) = e) 1(t) -5 and A: %3D *2 -6 (). 1 x(t) = Ce-2t + Cze-3 x(t) = Ce-3t + Cze- 3. O z¢) = G**(;) +(). x(t) = Cie-4t + Cze2 -2t 1 x(t) = Cie-3+ (1 -2t + Cze None of the others
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