Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = -9x + 4y = - 5 2 x + 2y 2 c₁ ( ² ) e² + ¢₂ ( ² ) e¯³¹ 2 1 -8t X
Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = -9x + 4y = - 5 2 x + 2y 2 c₁ ( ² ) e² + ¢₂ ( ² ) e¯³¹ 2 1 -8t X
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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Transcribed Image Text:Find the general solution of the given system.
dx
dt
dy
dt
(x(t), y(t))
=
= -9x + 4y
-
-
5
2
x + 2y
2
c₁ ( ² ) e² + ¢₂ ( ³ ) e −8²
2 1
-8t
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