Question: In Exercises 5-12, we consider the partially decoupled system dx = 2x + y dt dy = -y.7. Use the method described in this section

 In Exercises 5-12, we consider the partially decoupled system dx =2x + y dt dy = -y.7. Use the method described inthis section to derive the general solution to this system. 10. (a)

In Exercises 5-12, we consider the partially decoupled system dx = 2x + y dt dy = -y.7. Use the method described in this section to derive the general solution to this system. 10. (a) Using the result of Exercise 7, 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()- and y(z)-graphs

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