Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Y1' = -Y1 Y2' = 7y2 Y3' = Уз (Yı(t), y2(t), y3(t)) =
Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Y1' = -Y1 Y2' = 7y2 Y3' = Уз (Yı(t), y2(t), y3(t)) =
Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter2: Matrices
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Problem 64CR
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![A population has the following characteristics.
(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year.
The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year?
0 s age s 1
1 s age s 2
2 < age < 3
In 2 years?
0 s age <1
1 s age < 2
2 < age s 3
Need Help?
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Transcribed Image Text:A population has the following characteristics.
(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year.
The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year?
0 s age s 1
1 s age s 2
2 < age < 3
In 2 years?
0 s age <1
1 s age < 2
2 < age s 3
Need Help?
Read It
![Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.)
Y1' = -Y1
y2' = 7y2
y3' =
Уз
(Y1(t), y2(t), y3(t)) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff17d012-70ad-4782-80ac-5077bdfc24e1%2F4b5c09fc-7137-41f0-a505-2f1fa4c9c9ae%2Frsthar8_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.)
Y1' = -Y1
y2' = 7y2
y3' =
Уз
(Y1(t), y2(t), y3(t)) =
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