**Example:** Consider the autonomous differential equation with the initial condition

where the graph of *f*(*y*) is given below

**1.**- Draw the phase line for this differential equation, and classify the equilibrium points (critical points) as sinks, sources, or nodes.
**2.**- Give a rough sketch of the slope field for this differential equation, and draw a few solutions into the slope field.
**3.**- Consider the solution to the differential equation which satisfies the initial condition
*y*(1)=2. Find **4.**- Same as in 3., if
*y*(2)=1, that is find

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