a. Find the most general real-valued solution to the linear system of differential equations x→′ = [5 −6 9 −10]x→. [x1(t) x2(t)] = c1[ ] + c2[ ] b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these
![a. Find the most general real-valued solution to the linear system of differential equations x→′ = [5 −6 9 −10]x→. [x1(t) x2(t)] = c1[ ] + c2[ ] b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these](https://www.doubtrix.com/uploads/editor/7040377154VVjwUfqMjo.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)
![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)
