Solve the following linear systems of differential equations. Provide a sketch the phase portrait and classify the stability of the equilibrium solution as either stable, unstable or unstable saddle. (a) dx1/dt = x1 - x2 dx2/dt = 2x1 + 4x2 (c) x' =[ -1 1 -4 -3 ]x (b) dx1/dt = x1 + 2x2 dx2/dt = 4x1 + 3x2 (d) x' =[ 6 -1 5 2 ]x
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Solve the following linear systems of differential equations. Provide a sketch the phase portrait and classify the stability of the equilibrium solution as either stable, unstable or unstable saddle. (a) dx1/dt = x1 - x2 dx2/dt = 2x1 + 4x2 (c) x' =[ -1 1 -4 -3 ]x (b) dx1/dt = x1 + 2x2 dx2/dt = 4x1 + 3x2 (d) x' =[ 6 -1 5 2 ]x
![Solve the following linear systems of differential equations. Provide a sketch the phase portrait and classify the stability of the equilibrium solution as either stable, unstable or unstable saddle. (a) dx1/dt = x1 - x2 dx2/dt = 2x1 + 4x2 (c) x' =[ -1 1 -4 -3 ]x (b) dx1/dt = x1 + 2x2 dx2/dt = 4x1 + 3x2 (d) x' =[ 6 -1 5 2 ]x](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1688574428-Q2.png)
![1. Solve the following linear systems of differential equations. Provide a sketch the phase portrait and classify the stability of the equilibrium solution as either stable, unstable or unstable saddle. x' = [ 1 1 -4 -3 ]x.](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1689103940-Q1.png)
