28. Consider the autonomous equation dy/dt ferentiable, and suppose we know that f(-1) = f(2)= 0. = f(y) where f(y) is continuously dif- (a) Describe all the possible behaviors of the solution y(t) that satisfies the initial condition y(0) = 1. (b) Suppose also that f(y) > 0 for -1 < y < 2. Describe all the possible behav- iors of the solution y(t) that satisfies the initial condition y(0) = 1.
28. Consider the autonomous equation dy/dt ferentiable, and suppose we know that f(-1) = f(2)= 0. = f(y) where f(y) is continuously dif- (a) Describe all the possible behaviors of the solution y(t) that satisfies the initial condition y(0) = 1. (b) Suppose also that f(y) > 0 for -1 < y < 2. Describe all the possible behav- iors of the solution y(t) that satisfies the initial condition y(0) = 1.
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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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