We consider the partially decoupled system (a) Can you choose constants in...

We consider the partially decoupled system

(a) Can you choose constants in the general solution obtained in Exercise 7 that yield the function Y(t) = (e^−t , 3e^−t )?

(b) Suppose that the result of Exercise 7 was not immediately available. How could you tell that Y(t) = (e^−t , 3e^−t ) is not a solution?

Reference

Use the method described in this section to derive the general solution to this system.