David Joyner wrote: > Hi: > > I don't remember this topic coming up before but at some point > it must be faced since it arises in Calculus 1. AFAIK, SAGE has no routines > for > (1) computing the "implicit derivative" y' if y is defined implicitly > by F(x,y)=0, > (2) plotting (x,y) subject to F(x,y)=0. > > (1): This is easy for SAGE to compute: y' = - F_x(x,y)/F_y(x,y). > The problem is that it just isn't implemented yet to my knowledge. > How should this be implemented? implicit_derivative(F(x,y),x) or something?? > Suggestions? > > (2) In the 2d case, it might be possible to tweek matplotlib's > contourplot. It might also be possible to plot the solution to > the 1st order DE y' = - F_x(x,y)/F_y(x,y). Suggestions?
It appears that Maxima has an implicit_plot command: http://maxima.sourceforge.net/docs/manual/en/maxima_55.html The example seems to work for me with sage -maxima. Jason --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
