Solve the given system of differential equations by systematic elimination. Select all solutions to the system. 3x +6y dt dy -2y dt O x(t) Ce2t +c2e3t y(t)- 5c1e2t = O x(t) c2e3t y(t) ce2t = O x(t) 6ce 2 + Cze3 y(t) -5c1e2 O x(t) ce C2e3t y(t) -3c2e3t

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.
3x +6y
dt
dy
-2y
dt
O x(t) Ce2t +c2e3t
y(t)- 5c1e2t
=
O x(t) c2e3t
y(t) ce2t
=
O x(t) 6ce 2 +
Cze3
y(t) -5c1e2
O x(t) ce
C2e3t
y(t) -3c2e3t
Transcribed Image Text:Solve the given system of differential equations by systematic elimination. Select all solutions to the system. 3x +6y dt dy -2y dt O x(t) Ce2t +c2e3t y(t)- 5c1e2t = O x(t) c2e3t y(t) ce2t = O x(t) 6ce 2 + Cze3 y(t) -5c1e2 O x(t) ce C2e3t y(t) -3c2e3t
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