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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. Assume that I = 0. X1 bx, a = 1.3, b = 0.8, c = 0.3, d = 0.2 cx dx, ..... dx1 ?X, +0.8x2 %D dt dx2 1.3x, - ?X2 %3D dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.)

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. Assume that I = 0. X1 bx, a = 1.3, b = 0.8, c = 0.3, d = 0.2 cx dx, ..... dx1 ?X, +0.8x2 %D dt dx2 1.3x, - ?X2 %3D dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the system of differential equations corresponding to the following compartment model and analyze the stability of the equilibrium (0,0). The parameters have the same meaning as in the figure to the right. ax1 X, Assume that I = 0. bx, a = 1.3, b = 0.8, c = 0.3, d = 0.2 cx1 dx2 dx1 = ?x, +0.8x2| dt dx2 1.3x, - ?X2 dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.)
Transcribed Image Text:Determine the system of differential equations corresponding to the following compartment model and analyze the stability of the equilibrium (0,0). The parameters have the same meaning as in the figure to the right. ax1 X, Assume that I = 0. bx, a = 1.3, b = 0.8, c = 0.3, d = 0.2 cx1 dx2 dx1 = ?x, +0.8x2| dt dx2 1.3x, - ?X2 dt (Use integers or decimals for any numbers in the expressions. Simplify your answers.)
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