dz 3. Consider the equation = -25+ 4z + 12z³ a. Create a phase-line diagram for the equation and classify each critical number as stable, unstable, or semistable. dz b. Sketch a possible solution of d dt scaled and any asymptotes. =-z5 + 4z + 12z³; z(0) = 1. Label the axes, show appropriate

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Differential equation please answer for the both parts asappp
dz
3. Consider the equation =-z5+ 4z + 12z³
dt
a. Create a phase-line diagram for the equation and classify each critical number as stable, unstable, or
semistable.
b. Sketch a possible solution of
dt
scaled and any asymptotes.
=z5 + 4z + 12z³; z(0) = 1. Label the axes, show appropriate
Transcribed Image Text:dz 3. Consider the equation =-z5+ 4z + 12z³ dt a. Create a phase-line diagram for the equation and classify each critical number as stable, unstable, or semistable. b. Sketch a possible solution of dt scaled and any asymptotes. =z5 + 4z + 12z³; z(0) = 1. Label the axes, show appropriate
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