Rewrite the given system of two second order equations where y(t) = 3u" (6 ln t)u - 3u' - e'v' + 9 sint u' v" -e²2¹u+2v+ +5t³v'+t-3 t = = as a system of four first order linear equations of the form y' = P(t)y + g(t) y₁ (t) u(t) Y₂(t) u' (t) Y3 (t) v(t) Y₁(t) v' (t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Rewrite the given system of two second order equations
where y(t) =
3u"
(6 ln t)u - 3u' - e'v' + 9 sint
u'
v" -e²2¹u+2v+ +5t³v'+t-3
t
=
=
as a system of four first order linear equations of the form y' = P(t)y + g(t)
y₁ (t)
u(t)
Y₂(t)
u' (t)
Y3 (t)
v(t)
Y₁(t)
v' (t)
=
Transcribed Image Text:Rewrite the given system of two second order equations where y(t) = 3u" (6 ln t)u - 3u' - e'v' + 9 sint u' v" -e²2¹u+2v+ +5t³v'+t-3 t = = as a system of four first order linear equations of the form y' = P(t)y + g(t) y₁ (t) u(t) Y₂(t) u' (t) Y3 (t) v(t) Y₁(t) v' (t) =
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