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(i) Show that the solution of the logistic equation dr az – br dt (3) is given by 1(t) a – br(t) r(0) a – br(0) (4) (ii) Solve Equation (4) for r(t).

(i) Show that the solution of the logistic equation dr az – br dt (3) is given by 1(t) a – br(t) r(0) a – br(0) (4) (ii) Solve Equation (4) for r(t).

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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(i) Show that the solution of the logistic equation dr dt az – br? (3) is given by x(t) r(0) (4) a - br(t) a – br(0) (ii) Solve Equation (4) for r(t).
Transcribed Image Text:(i) Show that the solution of the logistic equation dr dt az – br? (3) is given by x(t) r(0) (4) a - br(t) a – br(0) (ii) Solve Equation (4) for r(t).
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