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Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics There is no evidence that a person ever develops dy immunity One model proposed for the rate of change in the number of men infected by this disease is di ay + bịf - y)Y, where y is the fraction of men infected, I is the fraction of men who are promiscuous. Ys the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f05. Choose Y0.03, and solve for y using y002 when tis 0 as an initial condition y- 0 015+0005e (Use integers or decimals for any numbers in the expression Round to three dimal places as needed) (b) A comparable model for women is dY AY BF-Yy, where Fis the fraction of women who are promiscuous and A and B are constants Assume At. B-1, and F0.03. Choose y02 and solve for Y. using Y005 as an intial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)

Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics There is no evidence that a person ever develops dy immunity One model proposed for the rate of change in the number of men infected by this disease is di ay + bịf - y)Y, where y is the fraction of men infected, I is the fraction of men who are promiscuous. Ys the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f05. Choose Y0.03, and solve for y using y002 when tis 0 as an initial condition y- 0 015+0005e (Use integers or decimals for any numbers in the expression Round to three dimal places as needed) (b) A comparable model for women is dY AY BF-Yy, where Fis the fraction of women who are promiscuous and A and B are constants Assume At. B-1, and F0.03. Choose y02 and solve for Y. using Y005 as an intial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)

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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Gonorrhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics. There is no evidence that a person ever develops immunity. One model proposed for the rate of change in the number of men infected by this disease is dy ay + b(f-y)Y, where y is the fraction of men infected, f di is the fraction of men who are promiscuous, Y is the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f-0.5. Choose Y0.03, and solve for y using y=002 when t is 0 as an initial condition y= 0015+0 05e1031 (Use integers or decimals for any numbers in the expression Round to three dimal places as needed) AP AY+ BF-Yy, where Fis the fraction of women who are promiscuous and A and B are constants Assume A1 dt (b) A comparable model for women is B1, and F 0.03. Choose y 02 and solve for Y. using Y 0.05 as an initial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
Transcribed Image Text:Gonorrhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with antibiotics. There is no evidence that a person ever develops immunity. One model proposed for the rate of change in the number of men infected by this disease is dy ay + b(f-y)Y, where y is the fraction of men infected, f di is the fraction of men who are promiscuous, Y is the fraction of women infected, and a and b are appropriate constants Answer parts (a) and (b) below (a) Assume a1, b 1, and f-0.5. Choose Y0.03, and solve for y using y=002 when t is 0 as an initial condition y= 0015+0 05e1031 (Use integers or decimals for any numbers in the expression Round to three dimal places as needed) AP AY+ BF-Yy, where Fis the fraction of women who are promiscuous and A and B are constants Assume A1 dt (b) A comparable model for women is B1, and F 0.03. Choose y 02 and solve for Y. using Y 0.05 as an initial condition (Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
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