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CreatingDirectionFieldsDERIVE5

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Creating Direction Fields with DERIVE 5 Last updated: January 22, 2007 Steve Billups, modified by Lance Lana This tutorial describes how to use DERIVE 5 to generate a direction field for the first order differential equation: dy -- = r(x,y) dx Direction fields can be created using the function DIRECTION_FIELD. The DIRECTION_FIELD function has the following syntax: DIRECTION_FIELD(r,x,x0,xm,m,y,y0,yn,n) r = right hand side function r(x,y) x = name of the independent variable y = name of the dependent variable x0 = lower bound on the x values to be plotted. xm = upper bound on the x values to be plotted. m = number of steps in the x direction y0 = lower bound on the y values yn = upper bound on the y values n = number of steps in the y direction The following is an example of how you can use this function to generate a direction field for the ODE dy -- = y-x dx Hint: use x , not t. 1. Define the function by typing the following in the
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