Differential Equations Practice Exams

Time: 1 hour

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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[CyberExam] [Calculus] [Differential equations]

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