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Unformatted text preview: >> y=1+cos(t) The solutions using the initial condition (0,2) is entered >> plot(t,y) The solution is then plotted 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 We then plot the differential equations direction field for the initial conditions: (0,1) (0,0) (0,1) (0,2) Next we graph the autonomous differential equation using the direction field We graph the curves of the solutions to the equation that have the initial conditions: (0,0) (0,4) (0,8) (4,2) (2,2) The equilibrium solutions are easily discernible by the lines at y = 6 and y = 2...
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 Spring '09

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