we consider the system 2r + 2y z+ 3y. dt For the given function Y(t) = (r(t), y(t)), determine if Y(t) is a solution system. 1. (z(t), y(t) (3e" + e', -e +e") 2. (z(1), y()) = (de' 4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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we consider the system
dz
= 2r + 2y
dy
=z+ 3y.
dt
For the given function Y(t) = (z(t), y(t), determine if Y(t) is a solution system.
1. (z(t), y(t) = (3e2" +e', -e' +e")
2. (z(t), y(t)) = (de' +e“, -2e' +e")
%3!
%3D
Transcribed Image Text:we consider the system dz = 2r + 2y dy =z+ 3y. dt For the given function Y(t) = (z(t), y(t), determine if Y(t) is a solution system. 1. (z(t), y(t) = (3e2" +e', -e' +e") 2. (z(t), y(t)) = (de' +e“, -2e' +e") %3! %3D
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