In Exercise 1, we consider the partially decoupled system
Exercise 1.
(a) Using the result of Exercise 2, determine the solution that satisfies the initial condition Y(0) = (x(0), y(0)) = (-1, 3).
(b) In the xy-phase plane, plot the solution curve associated to this solution.
(c) Plot the corresponding x(t)- and y (t)-graphs.
Exercise 2
Use the method described in this section to derive the general solution to this system.
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