Solving the Preliminary Example
continued from last page...)
Your plotting should have gone like this:
proposedxplot=Plot[E^(-t), {t,-2,2},
PlotStyle->RGBColor[0,0,1]]
Well, this picture does look a lot like the last one we made. It's starting to look like the x-component of our numerical solution and proposed solution are approximately the same. We'll get our best look at how they compare if we show both graphs on the same coordinate system. You may recall that the Show command is what we may use here. It's especially easy to use for us, since we were careful to give our previous plots meaningful names. The desired command is:
Show[prelimxplot,proposedxplot]
Go to Mathematica and try it, then return here.
We'll now go look at what you should have gotten...