MATLAB and contour plots


by mathema
Tags: contour, matlab, plots
mathema
mathema is offline
#1
Aug23-08, 02:54 AM
P: 1
Salut

I will be starting the control systems track at my university in a couple of weeks, so naturally I have been brushing up on my skills concerning the solution of DEs and difference equations. I was just wondering if there is an easy way to generate some of the graphs of a 1-parameter family of solutions to a first order ODE using MATLAB? (Particularly implicit solutions.) For example, an implicit solution to the simple ODE

(cosxsinx xy^2)dx + y(1 x^2)dy = 0

is given by

y^2(1 x^2) (cosx)^2 = c.

Because the equation is exact its solution is routine, but since my freshmen year I have always thought the family of curves it generates (especially near x=0) to be fairly interesting, so one of the first things I tried to do with my new copy of MATLAB was to generate this family for a few values of c so far without success.

Anyway, my question is:

Does MATLAB have some sort of contour plot application for producing the level curves of a two variable function of the form G(x,y) = c ?
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report

Register to reply

Related Discussions
Physicists Theorize New Method for FTL Travel Beyond the Standard Model 56
[Something descriptive here will yield more responses] Classical Physics 1