Q7.11 You have been provided with the following system of higher order differential equations. -1 " = t_^²y + 4y-tz + (sint)z'+e) z"=y-3z' Transform the provided pair of second-order differential equations into a set of four initial order linear differential equations in the structure of ÿ (t) = P(t) 5 + ģ(t) Write your answers in the spaces provided below: y2 y's 2t y'u = . Apply the subsequent variable substitution: ५. Уг + BE 93 94 11

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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Q7.11
You have been provided with the following system of higher order differential
equations.
-1
" = t_^²y + 4y-tz + (sint)z'+e)
z"=y-3z'
Transform the provided pair of second-order differential equations into a set
of four initial order linear differential equations in the structure of
ÿ (t) = P(t) 5 + ģ(t)
Write your answers in the spaces provided below:
y2
y's
2t
y'u
=
. Apply the subsequent variable substitution:
५.
Уг
+
BE
93
94
11
Transcribed Image Text:Q7.11 You have been provided with the following system of higher order differential equations. -1 " = t_^²y + 4y-tz + (sint)z'+e) z"=y-3z' Transform the provided pair of second-order differential equations into a set of four initial order linear differential equations in the structure of ÿ (t) = P(t) 5 + ģ(t) Write your answers in the spaces provided below: y2 y's 2t y'u = . Apply the subsequent variable substitution: ५. Уг + BE 93 94 11
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