Mathematics, 20.02.2020 04:04, ruchierosanp1n3qw

Consider the following equation of the form dy/dt = f(y)

dy/dt = ey − 1, −[infinity] < y0 < [infinity]

(a) Sketch the graph of f(y) versus y.

(b) Determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. (Enter your answers as a comma-separated list. If there are no critical points in a certain category, say NONE.)

(c) Draw the phase line.

(d) Sketch several graphs of solutions in the ty-plane.

Answers: 1

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Consider the following equation of the form dy/dt = f(y)

dy/dt = ey − 1, −[infinity] &l...