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The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 13 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 13 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

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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The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 13 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be? When will all the fish be gone? The fish will all be gone in years. (Round to three decimal places as needed.)
Transcribed Image Text:The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 13 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be? When will all the fish be gone? The fish will all be gone in years. (Round to three decimal places as needed.)
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