Thank You very Much. I have been trying that for day and now after your
advice it worked in mins.
f(x,y) = e^cos(x)-1
a = plot_slope_field(f(x,y), (x,-0,5),(y,-5,5))
v = eulers_method(f,0,0,1/10,5,algorithm="none")
plot(line(v)+a)
That is exactly what i was after.
Thank Again
Dan
On Tuesday, May 21, 2013 10:35:43 PM UTC+1, William wrote:
>
> On Tue, May 21, 2013 at 2:15 PM, Daniel Harris
> <mail.d...@googlemail.com <javascript:>> wrote:
> > Hello
> >
> > I am really bogged down now and need some guidance.
> >
> > I am trying to follow an Open University Maths course but I dont have
> access
> > to MathCad. I can see on paper a graph created in mathcad using the
> > eulers_method to graph a direcrion/gradient field and solution curve for
> the
> > function f(x,y)=e^cos(x) -1. I just cannot achieve this using sagemath.
> I
> > am trying
> >
> > eulers_method(e^cos(x)-1,0,0,1/10,5,algorithm="none")
>
> f(x,y) = exp(cos(x))-1
> v = eulers_method(f,0,0,1/10,5,algorithm="none")
> line(v)
>
> >
> > which does not work and i am struggling can someone point me in the
> right
> > direction.
> >
> > Thanks in Advance
> >
> > Dan
> >
> >
> > On Saturday, May 18, 2013 11:09:28 PM UTC+1, Daniel Harris wrote:
> >>
> >> Hello
> >>
> >> I am quite new to sage and I am trying to copy a graph created using
> >> mathcad. The following code seems to do the result but i am not sure
> if it
> >> is the best way of doing it. Any help would be appreciated
> >>
> >> var('a','b')
> >>
> >> Slopefield = plot_slope_field((a+b), (a,-5,5), (b,-5,5))
> >>
> >> x = var('x')
> >>
> >> y = function('y', x)
> >>
> >> DE = diff(y,x) - x-y
> >>
> >> f = desolve(DE, [y,x], (0,0))
> >>
> >> SolnPlot = plot(f, (x, -5,5))
> >>
> >> (SolnPlot+Slopefield).show(aspect_ratio=1, xmin=-5, xmax=5, ymin=-5,
> >> ymax=5)
> >>
> >>
> >>
> >> Thanks Dan
> >>
> >> ps the above code has been cut and pasted from a sage doc and slightly
> >> modified by myself and i have no idea why the -x-y works in the DE
> part.
> >
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>
>
> --
> William Stein
> Professor of Mathematics
> University of Washington
> http://wstein.org
>
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