lab7 final - >> y=1+cos(t) The...

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>> t=(-4:.133:4); T is defined so that there are 60 subdivisions between -4 and 4 >> y=t.^3-9*t The first solution equation is entered >> plot(t,y) This solution is plotted >> hold on >> y=t.^3-(49/4)*t The second solution is entered >> plot(t,y) This solution is plotted on the same graph >> y=t.^3-16*t The third solution is entered >> plot(t,y) This solution is plotted on the same graph A direction field is also graphed. The initial values are then put in to the field, resulting in the graphs of three curves. These curves are the same as the original plotted three, confirming that the graphs are correct. >> t=(0:.1:10); T is defined with 100 subdivisions between 1 and 10
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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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lab7 final - >> y=1+cos(t) The...

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