In Problems 15-18 , find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12 ). d x d t = 2 x + 13 y , d y d t = − x − 2 y
In Problems 15-18 , find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12 ). d x d t = 2 x + 13 y , d y d t = − x − 2 y
Solution Summary: The author explains that the critical point for the given system is (0,0) and the direction field in the phase plane is shown in figure (2).
In Problems 15-18, find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12).
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