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")
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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