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Consider the competition model defined by dx dt dy dt = x(2 0.4x 0.3y) = y(10.1y 0.3x), where the populations x(t) and y(t) are measured in thousands and t is measured in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases. (a) x(0) = 1.5, y(0) = 3.5 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (b) x(0) = 1, y(0) = 1 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (c) x(0) = 2, y(0) = 7 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction.

Consider the competition model defined by dx dt dy dt = x(2 0.4x 0.3y) = y(10.1y 0.3x), where the populations x(t) and y(t) are measured in thousands and t is measured in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases. (a) x(0) = 1.5, y(0) = 3.5 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (b) x(0) = 1, y(0) = 1 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (c) x(0) = 2, y(0) = 7 O The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. O Both the x(t) and y(t) populations approach 5,000. O The population x(t) approaches 10,000, while the population y(t) approaches extinction. O The population y(t) approaches 10,000, while the population x(t) approaches extinction.

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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2. = DETAILS Consider the competition model defined by dx dt dy dt = PREVIOUS ANSWERS ZILLDIFFEQMODAP11 3.3.012. x(2 0.4x 0.3y) - y(10.1y0.3x), where the populations x(t) and y(t) are measured in thousands and t is measured in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases. (a) x(0) = 1.5, y(0) = 3.5 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (b) x(0) = 1, y(0) = 1 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. MY NOTES (c) x(0) = 2, y(0) = 7 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. ASK YOUR TEACHER
Transcribed Image Text:2. = DETAILS Consider the competition model defined by dx dt dy dt = PREVIOUS ANSWERS ZILLDIFFEQMODAP11 3.3.012. x(2 0.4x 0.3y) - y(10.1y0.3x), where the populations x(t) and y(t) are measured in thousands and t is measured in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases. (a) x(0) = 1.5, y(0) = 3.5 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. X (b) x(0) = 1, y(0) = 1 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. MY NOTES (c) x(0) = 2, y(0) = 7 The population x(t) approaches 5,000, while the population y(t) approaches extinction. The population y(t) approaches 5,000, while the population x(t) approaches extinction. Both the x(t) and y(t) populations approach 5,000. The population x(t) approaches 10,000, while the population y(t) approaches extinction. The population y(t) approaches 10,000, while the population x(t) approaches extinction. ASK YOUR TEACHER
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