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Problem 1. Consider the system
Draw the nullclines and find all equilibrium points. Determine the fate of the solutions with initial conditions
Problem 2. Find the solution of
with the initial condition
Problem 3. Find the solution of
with the initial condition
Problem 4. Consider the system
Find the equilibrium points. Find the linearized system at these
points and discuss the behavior of the solutions at these points.
Determine if the equilibrium points are sinks, saddles, sources, and
so on...
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