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