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Von Bertalanffy's equation states that the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length L, (in centimeters). (a) Write a differential equation that expresses this idea. (Assume L > L. Use k for the proportionality constant.) (b) Make a rough sketch of the graph of a solution of a typical initial-value problem for this differential equation. L(t) L(t) L (0) O L (0) L(t) L (0) L(t) L (0) La Ⓡ

Von Bertalanffy's equation states that the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length L, (in centimeters). (a) Write a differential equation that expresses this idea. (Assume L > L. Use k for the proportionality constant.) (b) Make a rough sketch of the graph of a solution of a typical initial-value problem for this differential equation. L(t) L(t) L (0) O L (0) L(t) L (0) L(t) L (0) La Ⓡ

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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Von Bertalanffy's equation states that the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length 4 (in centimeters). (a) Write a differential equation that expresses this idea. (Assume L > L. Use k for the proportionality constant.) dL dt (b) Make a rough sketch of the graph of a solution of a typical initial-value problem for this differential equation. L(t) L(t) La L (0) La L (0) L(t) La L (0) L(t) L (0) La
Transcribed Image Text:Von Bertalanffy's equation states that the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length 4 (in centimeters). (a) Write a differential equation that expresses this idea. (Assume L > L. Use k for the proportionality constant.) dL dt (b) Make a rough sketch of the graph of a solution of a typical initial-value problem for this differential equation. L(t) L(t) La L (0) La L (0) L(t) La L (0) L(t) L (0) La
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