Properties
Similar Topics
Statistics
Comments
11
Participants
4
Subscribers
4
Votes
1
Views
615
Share
How to graph two locus graphs in a graph as a curve?
Answered
How to graph two locus graphs in a graph to create 2D phase plane plot.
f'(t, f, g, h) = gg'(t, f, g, h) = h
h'(t, f, g, h) = t h + 3t g + 2f + t
NSolveODE({f', g', h'}, 0, {1,2,2}, 10)
 GeoGebra
 Help
 Partners

Contact us
 Feedback & Questions
 This email address is being protected from spambots. You need JavaScript enabled to view it.
 +43 677 6137 2693
© 2020 International GeoGebra Institute
try
Polyline(Zip((y(P), y(Q)), P, First(numericalIntegral1, Length(numericalIntegral1)), Q, First(numericalIntegral2, Length(numericalIntegral2))))
for numericalIntegral1 vs numericalIntegral2
the rest like exercise for you
Please post your file
and say you want: f vs g? g vs h? (f,h)?
I remember seeing a really nice phase plane app here. https://www.geogebra.org/m/utcMvuUy
It uses locus plots, you may be able to find your answer there. Good luck.
try
Polyline(Zip((y(P), y(Q)), P, First(numericalIntegral1, Length(numericalIntegral1)), Q, First(numericalIntegral2, Length(numericalIntegral2))))
for numericalIntegral1 vs numericalIntegral2
the rest like exercise for you
I think you do not need so many points in numericalIntegral
this was the usual method for getting values from a locus or sequence but after more attemps I think that for numericalIntegral1 = NSolveODE({f', g', h'}, 0 ,{1, 2, 2}, 3) is better to use f(x) = Function(Join({{0, 3}, Zip(y(P), P, First(numericalIntegral1, Length(numericalIntegral1)))}))
so you can get values using expressions like f(1.5) etc, and create curve(f(t),g(t),t,0,3)
WARNING: not all comands for function work with freehand functions because only numerical methods can be used; ie: derivative(<freehand(x)>)=undefined
Comments have been locked on this page!