Determine the system of differential equations corresponding to the following compartment model and analyze the stability of the equilibrium ах, (0,0). The parameters have the same meaning as in the figure to the right. X, X, Assume that I= 0. bx, a = 3.4, b = 0.6, c= 0.2, d 0.6 cx1 dx2 ..... dx1 dt dx2 dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.) The origin is a(n) node.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The origin is a(n) (stable,syable spiral, unstable spiral, center, sanddle, unstable ) node .

Determine the system of differential equations corresponding to the
following compartment model and analyze the stability of the equilibrium
ax1
(0,0). The parameters have the same meaning as in the figure to the right.
Assume that I= 0.
bx,
a = 3.4, b = 0.6, c= 0.2, d = 0.6
cX1
dx,
.... .
dx,
%3D
dt
dx2
dt
(Use integers or decimals for any numbers in the expressions. Simplify your answers.)
The origin is a(n)
node.
Transcribed Image Text:Determine the system of differential equations corresponding to the following compartment model and analyze the stability of the equilibrium ax1 (0,0). The parameters have the same meaning as in the figure to the right. Assume that I= 0. bx, a = 3.4, b = 0.6, c= 0.2, d = 0.6 cX1 dx, .... . dx, %3D dt dx2 dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.) The origin is a(n) node.
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