2/ Draw the phase portrait and determine the stability of critical point: ✗ 00 +2X°-x²+1=0
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- Assume that dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show that (10/3, 10/3) is an equilibrium, and use the analytical approach to determine its stability.Consider the DEdy/dt = y^(3)*(y −1)2(y + 2).Draw the phase line and a graph showing the long-term behavior of solutions.dx/dt=x(x2-4) Construct a phase-diagram of the nonlinear autonomous equation Ï. Determine thenature and stability of each critical point.
- dx dt = = (x-232) (x-2024), find all the equilibrium solutions and then determine the stability of each equilibrium solution.State the amplitude, period, phase shift and range for the sinusoid g(x) = -3sin(5x-11/4) + 19Assume that dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1, 1) is an equilibrium, and use the graphical approach to determine its stability.