Question: do number 3pls.In Problems 1 through 4, show that the given system is almost linear with (0,0)as a critical point, and classify this critical point
do number 3pls.In Problems 1 through 4, show that the given system is almost linear with (0,0)as a critical point, and classify this critical point asto type and stability. Use a computer system or graphing calculator to construct a phase plane portrait that illustrates your conclusion. dxdt=1-ex+2y,dydt=-x-4sinydxdt=2sinx+siny,dydt=sinx+2siny(Fig.6.4.11) Figure 6.4.11. Trajectories of the system in Problem 2. Figure 6.4.11. Full Alternative Text dxdt=ex+2y-1,dydt=8x+ey-1dxdt=sinxcosy-2y,In Problems 1- through 4, show that the given system is almost linearwith (0,0)as a critical point, and classify this critical point asto type andstability. Use a computer system or graphing calculator to construct a phaseplane portrait that illustrates your conclusion.dxdt=1-ex+2y,dydt=-x-4sinydxdt=2sinx+siny,dydt=sinx+2siny(Fig.6.4.11)Figure 6.4.11. Trajectories of the system in Problem 2Figure 6.4.11. Full Alternative Textdxdt=ex+2y-1,dydt=8x+ey-1dxdt=sinxcosy-2y,dydt=4x-3cosxsiny
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