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dx dt dy dt = 2x+y, x(0) = 0, y(0) = 2 = 3x-2y vd bouleb ai

dx dt dy dt = 2x+y, x(0) = 0, y(0) = 2 = 3x-2y vd bouleb ai

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 56RE
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#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
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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