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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.

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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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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