The graph of the function f(x) Given the differential equation x\'(t)=f(x(t)) .

Question

The graph of the function f(x)

Given the differential equation x'(t)=f(x(t)) .

List the constant solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable.

2/

Given the differential equation x'=(x+3.5)*(x+2.5)^3*(x+0.5)^2*(x-1)

List the constant solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable.

The graph of the function f(x) Given the differential equation x'(t)=f(x(t)) . List the constant solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable. Given the differential equation x'=(x+3.5)*(x+2.5)^3*(x+0.5)^2*(x-1) List the constant solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable.

Explanation / Answer

-2.5, -0.5, 0.5, 1.5

semi, stable, semi, semi

2/ -3.5, -2.5, -0.5, 1

semi, stable, stable, semi

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