Solve the following IVPs. (a) dx1/dt = -2x1 + x2 dx2/dt = 0x1 - 3x2 , X(0) = [1 1] (b) dx1/dt = -2x1 - 2x2 dx2/dt = 2x1 - 6x2 , X(0) = [-4 1].
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Solve the following IVPs. (a) dx1/dt = -2x1 + x2 dx2/dt = 0x1 - 3x2 , X(0) = [1 1] (b) dx1/dt = -2x1 - 2x2 dx2/dt = 2x1 - 6x2 , X(0) = [-4 1].
![Solve the following IVPs. (a) dx1/dt = -2x1 + x2 dx2/dt = 0x1 - 3x2 , X(0) = [1 1] (b) dx1/dt = -2x1 - 2x2 dx2/dt = 2x1 - 6x2 , X(0) = [-4 1].](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1688574463-Q3.png)
![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)
