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4. A solution curve with initial values F(0) = 5 and H(0) = 10 is sketched in the figure on the left. Sketch another solution curve in the same figure, this one with F(0) = 5 and H(0) = 4.

4. A solution curve with initial values F(0) = 5 and H(0) = 10 is sketched in the figure on the left. Sketch another solution curve in the same figure, this one with F(0) = 5 and H(0) = 4.

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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F'= -12F + 3FH

 

H'= 15H - 5FH

An interaction between populations of foxes and hares can be modeled using a pair of coupled differential equations for F'(t) and H'(t), where F(t) and H(t) denote the populations of foxes and hares, respectively, at time t. Consider the plots below depicting particular aspects of this system. (You can see a color version of these plots in the file on moodle.) HA (5, 10) 10 14 8. 12 10 8 4. 6. 4 2. 6. 10 F 0.0 0.5 1.0 1.5 2.0 2.5 3.0 Population
Transcribed Image Text:An interaction between populations of foxes and hares can be modeled using a pair of coupled differential equations for F'(t) and H'(t), where F(t) and H(t) denote the populations of foxes and hares, respectively, at time t. Consider the plots below depicting particular aspects of this system. (You can see a color version of these plots in the file on moodle.) HA (5, 10) 10 14 8. 12 10 8 4. 6. 4 2. 6. 10 F 0.0 0.5 1.0 1.5 2.0 2.5 3.0 Population
4. A solution curve with initial values F(0) = 5 and H(0) = 10 is sketched in the figure on the left. Sketch another solution curve in the same figure, this one with F(0) = 5 and H(0) = 4. %3D
Transcribed Image Text:4. A solution curve with initial values F(0) = 5 and H(0) = 10 is sketched in the figure on the left. Sketch another solution curve in the same figure, this one with F(0) = 5 and H(0) = 4. %3D
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