Determine which of the following is the Jacobian matrix for the system given by dx 3 = 3x?y³ -xy? – 2xy+ 8y? dt dy — x?у2 + 4у3 + 3ху- 2х dt |ox*y? -w-2x+16y 6xy' --2y 9x°y -xy-2x+16y 6xy?- 6x² --2y 9x°y? -w-2 -2ку? + Зу-2 6xy° - -2y 9ry-w-2x+16y -2xy? + 3y - 2 -2x?y+12y +3x] -2x?y+12y? + 3x -2xy? + 3y-2 -2x²y+ 12y² + 3x -2x?y+12y + 3x -2xy? + 3y- 2

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Author:Amos Gilat
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Determine which of the following is the Jacobian matrix for the system given by
dx
3
= 3x?y³ -xy? – 2xy+ 8y?
dt
dy
— x?у2 + 4у3 + 3ху- 2х
dt
|ox*y? -w-2x+16y 6xy' --2y
9x°y -xy-2x+16y 6xy?-
6x² --2y 9x°y? -w-2
-2ку? + Зу-2
6xy° - -2y 9ry-w-2x+16y
-2xy? + 3y - 2
-2x?y+12y +3x]
-2x?y+12y? + 3x
-2xy? + 3y-2
-2x²y+ 12y² + 3x
-2x?y+12y + 3x
-2xy? + 3y- 2
Transcribed Image Text:Determine which of the following is the Jacobian matrix for the system given by dx 3 = 3x?y³ -xy? – 2xy+ 8y? dt dy — x?у2 + 4у3 + 3ху- 2х dt |ox*y? -w-2x+16y 6xy' --2y 9x°y -xy-2x+16y 6xy?- 6x² --2y 9x°y? -w-2 -2ку? + Зу-2 6xy° - -2y 9ry-w-2x+16y -2xy? + 3y - 2 -2x?y+12y +3x] -2x?y+12y? + 3x -2xy? + 3y-2 -2x²y+ 12y² + 3x -2x?y+12y + 3x -2xy? + 3y- 2
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