implicitplot?

momiji — Sat, 27 Sep 2008 18:15:37 Z

One option is to look at the curves formed by the solutions of the equations using plots[implicitplot]. Another option is plot3d to look at the surfaces of their graphs as functions in two variables. Either of those options is going to require some tweaking of your equations. Exactly what you should do really depends on what you are trying to figure out about these equations.

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Alex Smith — Sat, 27 Sep 2008 20:06:01 Z

Take a step back and look at your equations. They decouple into some rather simple curves. For example, the first equation corresponds to a pair of perpendicular lines that can be plotted as follows:

G1:=plot({[a,0,a=-3..1],[-156/61,b,b=-1..1]},color=red,axes=boxed);

The second equation corresponds to a curve that can be plotted as follows:

G2:=plot([a,-(2/529)*(39*a^2+128+119*a)/a^2,a=0.5..2],color=green);

The third equation looks like this curve:

G3:=plot([-(2/299)*(-493+5520*b)/(23*b-2),b,b=-2..2],color=blue);

Now plots[display](G1,G2,G3); shows the solutions.

Are you looking for a simultaneous solution to the three equations, subject to the contraint imposed by the inequality? You can see that there seems to be no solution, regardless of the inequality constraint.

This is confirmed by the following:

solve({0 = -(1/345)*(-28704*b*a-11224*b*a^2)/a, 0 < -(1/345)*(-6877*b*a^2-11040*b*a+986*a+598*a^2)/a, 0 = -(1/345)*(7935*b*a^2+1170*a^2+3840+3570*a)/a});

MaplePrimes - answers and comments on Question, Plotting expressions with several variables

implicitplot?

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