Solve the given system of differential equations by systematic elimination. Select all solutions to the system. dx 3x6y dt dy -2y dt O x(t) Ce2t +c2e3t y(t) 5ce2t = xt) C2e3t y(t) Ce2 = O x(t) 6ce2c2e y(t) -5c1e2 3t

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Solve the given system of differential equations by systematic elimination. Select all solutions to the
system.
dx
3x6y
dt
dy
-2y
dt
O x(t) Ce2t +c2e3t
y(t) 5ce2t
=
xt) C2e3t
y(t) Ce2
=
O x(t) 6ce2c2e
y(t) -5c1e2
3t
Transcribed Image Text:Solve the given system of differential equations by systematic elimination. Select all solutions to the system. dx 3x6y dt dy -2y dt O x(t) Ce2t +c2e3t y(t) 5ce2t = xt) C2e3t y(t) Ce2 = O x(t) 6ce2c2e y(t) -5c1e2 3t
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