Consider the differential equation d²x dx + b. + cx = 0, dt (9.4.5) di2 where b and c are constants. Show that Equation (9.4.5) can be replaced by the equivalent first-order linear system x' = Ax, 1 where A = -C -b

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider the differential equation
d²x
dx
+ b.
+ cx = 0,
dt
(9.4.5)
di2
where b and c are constants.
Transcribed Image Text:Consider the differential equation d²x dx + b. + cx = 0, dt (9.4.5) di2 where b and c are constants.
Show that Equation (9.4.5) can be replaced by
the equivalent first-order linear system x' = Ax,
1
where A =
-C -b
Transcribed Image Text:Show that Equation (9.4.5) can be replaced by the equivalent first-order linear system x' = Ax, 1 where A = -C -b
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