Consider the linear system dY dt = 2 1 0 2 Y. (a) Show
Chapter , Problem 27(choose chapter or problem)
Consider the linear system dY dt = 2 1 0 2 Y. (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. 3
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