## Section 4 exercises: Linear systems in 2 dimensions

Section 4 exercises: Linear systems in 2 dimensions

Complete these as you are going through part 4. Try and do questions from this regularly. These questions are taken from Nonlinear Dynamics and Chaos by Strogatz.

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.For the following differential equations, calculated the eigenvalues and eigenvectors of the eigenvalue equations, plot the phase portraits and classify the systems. (Answers)

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.What will Thando and Marsha’s future be in the following situations?

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## JonathanShock,UniversityofCapeTown2021jon.shock@gmail.com

JonathanShock,UniversityofCapeTown2021jon.shock@gmail.com