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(a) Consider a fish population, assume that the total number of fish is constant. Some of fish live in a river, some live in a lake that the river flows into. Let R(t) and L(t) denote the fish populations in the river and in the lake respectively, aftert months. Suppose each month, 10% of the fish in the river move into the lake and 5% of the fish in the lake move to the river. Set up a system of differential equations for the rates of change of R(t) and L(t). Do not solve.

(a) Consider a fish population, assume that the total number of fish is constant. Some of fish live in a river, some live in a lake that the river flows into. Let R(t) and L(t) denote the fish populations in the river and in the lake respectively, aftert months. Suppose each month, 10% of the fish in the river move into the lake and 5% of the fish in the lake move to the river. Set up a system of differential equations for the rates of change of R(t) and L(t). Do not solve.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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6. (a) Consider a fish population, assume that the total number of fish is constant. Some of fish live in a river, some live in a lake that the river flows into. Let R(t) and L(t) denote the fish populations in the river and in the lake respectively, after t months. Suppose each month, 10% of the fish in the river move into the lake and 5% of the fish in the lake move to the river. Set up a system of differential equations for the rates of change of R(t) and L(t). Do not solve.
Transcribed Image Text:6. (a) Consider a fish population, assume that the total number of fish is constant. Some of fish live in a river, some live in a lake that the river flows into. Let R(t) and L(t) denote the fish populations in the river and in the lake respectively, after t months. Suppose each month, 10% of the fish in the river move into the lake and 5% of the fish in the lake move to the river. Set up a system of differential equations for the rates of change of R(t) and L(t). Do not solve.
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