(a) Determine the vector field associated with the first-order system specified.
(b) Sketch enough vectors in the vector field to get a sense of its geometric structure. (You should do this part of the exercise without the use of technology.)
(c) Use HPGSystemSolver to sketch the associated direction field.
(d) Make a rough sketch of the phase portrait of the system and confirm your answer using HPGSystemSolver.
(e) Briefly describe the behavior of the solutions.
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