Differential Equations Practice Exams

Time: 1 hour


Problem 1. Consider the system

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Draw the nullclines and find all equilibrium points. Determine the fate of the solutions with initial conditions

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Problem 2. Find the solution of

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with the initial condition

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Problem 3. Find the solution of

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with the initial condition

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Problem 4. Consider the system

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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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