Consider the linear system
(a) Show that (0,0) is a saddle.
(b) Find the eigenvalues and eigenvectors and sketch the phase plane.
(c) On the phase plane, sketch the solution curves with initial conditions (1,0.01) and (1,-0.01)
(d) Estimate the time t at which the solutions with initial conditions (1,0.01) and(1,-0.01) will be 1 unit apart.
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Differential Equations
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage