Consider the system of differential equations Y1 + 3y2, %3D 3y1 + Y2, %3D with solutions Y1(t) Y2(t) cjet + cze , Cjet – cze 4, 2t %3D for any constants c and c2. Rewrite the solution of the equations in vector form as j(t) = c(t) + cz2(t). y(t) = C1 + C2
Consider the system of differential equations Y1 + 3y2, %3D 3y1 + Y2, %3D with solutions Y1(t) Y2(t) cjet + cze , Cjet – cze 4, 2t %3D for any constants c and c2. Rewrite the solution of the equations in vector form as j(t) = c(t) + cz2(t). y(t) = C1 + C2
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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Yı + 3y2,
3y1 + Y2,
%3D
with solutions
cjet + cze
2t
Y1 (t)
Y2(t)
Get
2t
Cze ",
for any constants c and c2. Rewrite the solution of the equations in vector form as j(t) = Cı1(t) + c2j2(t).
ý(t) = C1
+ C2"
Transcribed Image Text:Consider the system of differential equations
Yı + 3y2,
3y1 + Y2,
%3D
with solutions
cjet + cze
2t
Y1 (t)
Y2(t)
Get
2t
Cze ",
for any constants c and c2. Rewrite the solution of the equations in vector form as j(t) = Cı1(t) + c2j2(t).
ý(t) = C1
+ C2
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