Re: [sage-edu] how to plot the implicit solution of an ode by 'implicit_plot'?

[Wei, Huayi]

Hi, David,

You code also worked for me. Thanks.

Best

Huayi

On 2016年08月27日 20:50, David Joyner wrote:

On Fri, Aug 26, 2016 at 11:39 PM, Wei, Huayi <weihu...@xtu.edu.cn> wrote:

Hi, Guys,

I solve an ode and get an  implicit solution as following, and my question
is how to plot `f` by `implicit_plot` command.

```

var('t')

y = function('y')(t)

de = diff(y, t)/((2-y)*y) == 1

f = desolve(de, y, [0, 10]) #  the solution is -1/2*log(y(t) - 2) +
1/2*log(y(t)) == t + 1/2*log(10) - 1/2*log(8)
```

sage: var("t,y")
(t, y)
sage: implicit_plot(-1/2*log(y - 2) + 1/2*log(y) == t + 1/2*log(10) -
1/2*log(8), (t, 0, 2), (y, 2.1,10), figsize=4, axes="true" )

worked for me.

For more info on the syntax, see here

http://doc.sagemath.org/html/en/reference/plotting/sage/plot/contour_plot.html#sage.plot.contour_plot.implicit_plot

and also here

http://sagemath.wikispaces.com/implicit_plot

Thanks

Huayi



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