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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