Verify that t v(t) = = (x(t)) = c₁ (14) e² + cz (1) et + (62³) 1 + 1/3 (104) -4 6 1 6t is a solution to the system of linear equations X'(t): = (1 3) x (t) + (-10 t + 4). = 4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Verify that
t
v(t) = = (x(t)) = c₁ (14) e² + cz (1) et + (62³) 1 + 1/3 (104)
-4
6 1
6t
is a solution to the system of linear equations X'(t):
= (1 3) x (t) + (-10 t + 4).
=
4
Transcribed Image Text:Verify that t v(t) = = (x(t)) = c₁ (14) e² + cz (1) et + (62³) 1 + 1/3 (104) -4 6 1 6t is a solution to the system of linear equations X'(t): = (1 3) x (t) + (-10 t + 4). = 4
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