Unformatted text preview: dy dx = 2 x − y the direction ±eld and isoclines can be obtained using Mathematica as follows: Step 1 Load the Plot±ield subroutine with the instruction << Graphics`PlotField` Note the use of the backsloped apostrophe. Step 2 Obtain the direction ±eld by using the PlotVector±ield command as follows arrows=PlotVectorField[{1,2xy},{x,2,2},{y,2,2}] Note the following: (a) ‘arrows’ is a name (with lower case a) which will be used later in the routine (b) the ±rst element in the ±rst bracket is unity, which represents the time derivative with respect to itself (c) if memory is scarce, the plot can be suppressed by inserting a semicolon at the end of the line....
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 Fall '11
 Dr.Gwartney
 Economics, Derivative, Continuous dynamic systems, Higherorder ordinary differential

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