This problem deals with the differential equation dx/dt kx(x – M) – h that models the harvesting of an unso- phisticated population (such as alligators). Show that this equation can be rewritten in the form dx/dt = k(x – H)(x – K), where H = (M + VM² + 4h/k) > 0, (~- K = ( M M² + 4h/k ) < 0.

This problem deals with the differential equation dx/dt kx(x – M) – h that models the harvesting of an unso- phisticated population (such as alligators). Show that this equation can be rewritten in the form dx/dt = k(x – H)(x – K), where H = (M + VM² + 4h/k) > 0, (~- K = ( M M² + 4h/k ) < 0.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 16CR

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