Problem

Consider the autonomous differential equation dy/dt = f (y) where the graph of f (y) is gi...

Consider the autonomous differential equation dy/dt = f (y) where the graph of f (y) is given below.

(a) Sketch the phase line for this equation and identify the equilibrium points as sinks, sources, or nodes.
(b) Give a rough sketch of the slope field that corresponds to this equation.
(c) Give rough sketches of the graphs of the solutions that satisfy the initial conditions y(0) = −3, y(0) = 0, y(0) = 1, and y(0) = 2.

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Solutions For Problems in Chapter 1.R

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