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A flock of 100 goats on a remote island are suffering from a new disease. Let G(1) be the number of sick goats at time t. Suppose that 30 goats are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick goats. Give the mathematical model (IVP) for G. dG kG, G(0) = 30 dt dG b) kG, G(0) = 100 dt dG = kt/G, G(0) = 30 dt

A flock of 100 goats on a remote island are suffering from a new disease. Let G(1) be the number of sick goats at time t. Suppose that 30 goats are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick goats. Give the mathematical model (IVP) for G. dG kG, G(0) = 30 dt dG b) kG, G(0) = 100 dt dG = kt/G, G(0) = 30 dt

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Question 13 A flock of 100 goats on a remote island are suffering from a new disease. Let G(1) be the number of sick goats at time t. Suppose that 30 goats are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick goats. Give the mathematical model (IVP) for G. dG = kG, G(0) = 30 dt dG = kG, G(0) = 100 dt b) dG = ktG, G(0) = 30 dt dG = kyT, G(0) = 100 dt dG = kyG, G(0) = 30 dt nONone of the above.
Transcribed Image Text:Question 13 A flock of 100 goats on a remote island are suffering from a new disease. Let G(1) be the number of sick goats at time t. Suppose that 30 goats are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick goats. Give the mathematical model (IVP) for G. dG = kG, G(0) = 30 dt dG = kG, G(0) = 100 dt b) dG = ktG, G(0) = 30 dt dG = kyT, G(0) = 100 dt dG = kyG, G(0) = 30 dt nONone of the above.
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