dx dt dy dt = 2x+y, x(0) = 0, y(0) = 2 = 3x-2y vd bouleb ai
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 56RE
Related questions
Question
#6a
Differential Equations
![6. Solve for x(t) and y(t) using the Laplace transform and then solving the system of
equations.
a)
b)
d)
dx
dt
dy
dt
dy
dt
dx
-= 3x - 2y, x(0) = 1, y(0) = 2
dt
dx
dt
dy
dt
dz
dt
= 2x + y, x(0) = 0, y(0) = 2
dz
= 3x - 2y
dt
= x + 2y
= x+y=z
-= x+3z
-=x-2y + x, x(0) = 0, y(0) = 1, z(0) = 2lova3
-=X+-Z
dx
= x+y+x, x(0) = 1, y(0) = -1, z(0) = 0
dt
dy
dt
selvraseig o ed a bas
yd bonitob aig bur
>0]
-= x +2y+3z
108 [0UA-108*013
[001-4101-1001/1
A alqurax 3
uschon
alwoosiq bi (ng bas
T.C monod
(d)
FIOL
laporal stinitos](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d410cd6-8fc6-4d13-8ff0-7a43ba3056bc%2F780567ec-91f0-4c78-9b79-16460fe36428%2Fot4jjq8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Solve for x(t) and y(t) using the Laplace transform and then solving the system of
equations.
a)
b)
d)
dx
dt
dy
dt
dy
dt
dx
-= 3x - 2y, x(0) = 1, y(0) = 2
dt
dx
dt
dy
dt
dz
dt
= 2x + y, x(0) = 0, y(0) = 2
dz
= 3x - 2y
dt
= x + 2y
= x+y=z
-= x+3z
-=x-2y + x, x(0) = 0, y(0) = 1, z(0) = 2lova3
-=X+-Z
dx
= x+y+x, x(0) = 1, y(0) = -1, z(0) = 0
dt
dy
dt
selvraseig o ed a bas
yd bonitob aig bur
>0]
-= x +2y+3z
108 [0UA-108*013
[001-4101-1001/1
A alqurax 3
uschon
alwoosiq bi (ng bas
T.C monod
(d)
FIOL
laporal stinitos
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