Find the general solution of the system y' = Ay where A = 1 2 -1 4 y(t) = c1e' + c2et y(t) = c1e2t 2 + cze3t 1 y(t) = c1e + C2e4t y(t) = ce2t + cze3t

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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Find the general solution of the system y' = Ay where A =
2
1
4
y(t) = c1e
2
+ c2e"
4t
1
y(t) = c1e2t
+ cze3t
1
y(t) = c1e'
+ c2et
y(t) = c1e2t
+ Cze³t
Transcribed Image Text:Find the general solution of the system y' = Ay where A = 2 1 4 y(t) = c1e 2 + c2e" 4t 1 y(t) = c1e2t + cze3t 1 y(t) = c1e' + c2et y(t) = c1e2t + Cze³t
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