find-the-equilibrium-solutions-of-the-equation-zprimet-zz-1z6-and-classify-each-

Question

Find the equilibrium solutions of the equation z′(t)=z(z−1)(z+6) $$z^{\prime}(t) = z(z-1)(z+6)  $$and classify each as stable or unstable.

Accepted Answer

z=−6z=-6 (unstable)z=0z=0 (stable)z=1z=1 (unstable)

Answer

z=−6z=-6 (stable)z=1z=1 (unstable)

Answer

z=−6z=-6 (stable)z=0z=0 (unstable)

Answer

z=−6z=-6 (stable)z=0z=0 (unstable)z=1z=1 (unstable)

Find the equilibrium solutions of the equation z′(t)=z(z−1)(z+6) z^{\(\prime\)}(t) = z(z-1)(z+6) and classify each as stable or unstable.