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commands to solve a very wide range of mathematical problems. In our course, \
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below. If you require other commands, just press F1 to get access to the \
excellent ",
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evaluate the cells below by selecting the relevant cells and pressing SHIFT - \
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be scared if you can't remember the syntax of all of these commands - in \
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e.g. with instrinsic growth rate R=2 and initial population size n0=10, we \
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Numerically you would evaluate a recurrence equation as follows:\
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Here I fiddled around a bit with the layout to make it look nice. You can \
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Cell[CellGroupData[{

Cell["Plotting the solutions of differential equations", "Section",
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  Axes->True,
  AxesOrigin->{0, 0},
  Frame->True,
  FrameLabel->{
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    FormBox["\"Predator & prey density\"", TraditionalForm]},
  PlotRange->{{0, 0.1}, {0., 876.1454713752129}},
  PlotRangeClipping->True,
  PlotRangePadding->{
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}, Open  ]],

Cell["Or you can plot the dynamics as a vector field diagram :", "Text",
 CellChangeTimes->{{3.432549533734375*^9, 3.43254955971875*^9}, {
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Cell["\<\
Or you can draw phase-plane trajectories using ParametricPlot. Here, we make \
a table of different trajectories using different starting values for n2 \
(predator density) and for an initial prey density n1 of 500. We then show \
all the graphs together using Show[]:\
\>", "Text",
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