2) Consider the linear system – AY=6 v. where Y0 =CO). Circle the letters of all the true statements about this system. a. There are straight line solutions that live on the y-axis. c. All non-equilibrium solutions travel at the same speed. d. If we start the eigenvectors for this system at the origin, they all live on the y-axis. e. There are no straight line solutions that live on a line through the origin. f. An equilibrium “point” or solution for this system is Y g. Distinct solution curves for this system can touch or cross. h. As / increases, all non-equilibrium solutions travel in the positive x direction. i. The speed of non-equilibrium solutions depends on the distance from the x-axis. j. This system is completely decoupled. k. This system has repeat eigenvalues. are examples of eigenvectors for this system. m. All distinct solution curves travel at a constant speed. Sketch the phase portrait for this system below. Be sure to label your axes.
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