Question: Please solve and show all steps . x 5 3 T 1: Consider the system (y') = (_3 _1) (y) (a) Find the general solution

Please solve and show all steps

. x 5 3 T 1: Consider the system (y') = (_3 _1) (y) (a) Find the general solution to the system, and find the solution which satisfies #(0) = 1 and y(0) = 1. (b) Sketch a phase portrait: show the isocline #' = 0 and the isoclines % = for = 1,0,1, -1 -3 1 ! ) ' 59 ? show the direction field, and show the solution curves through each of the six points (1,+1) and (0,':i: )

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