How can this be applied to systems?
On Wednesday, May 6, 2015 at 1:28:55 AM UTC+3, Dima Pasechnik wrote:
>
>
>
> On Tuesday, 5 May 2015 20:25:46 UTC+1, Paul Royik wrote:
>>
>> I meant without discontinuous functions.
>> What is the general approach even in numerical solving of "school"
>> functio
On Tuesday, 5 May 2015 20:25:46 UTC+1, Paul Royik wrote:
>
> I meant without discontinuous functions.
> What is the general approach even in numerical solving of "school"
> functions on the interval?
>
on the interval it is the bisection method and its versions
http://en.wikipedia.org/wiki/Root
I meant without discontinuous functions.
What is the general approach even in numerical solving of "school"
functions on the interval?
Can sage do that?
On Tuesday, May 5, 2015 at 9:53:22 PM UTC+3, Dima Pasechnik wrote:
>
> This is an overtly optimistic point of view that find_root can solve
>
This is an overtly optimistic point of view that find_root can solve any
equation on an interval. You'll need your function to be continuous, at
least. For systems of equations things are considerably more complicated.
Look up "Newton method" for one particularly popular approach.
--
You
On Tue, May 5, 2015 at 6:58 PM, Jotace wrote:
> I am trying to obtain the explicit expression for the solution od an ODE, my
> code is
> var('k')
> y= function('y',x)
> h=desolve(diff(y,x) - k*y*(1-y),y, ivar=x)
> h
For this example you can do something like:
eq = h.simplify_log()*k
eq2 = exp(eq
Thank you.
I have arbitrary system of equations.
I know, that find_root can solve any equation on interval.
Is there something similar to system of equations?
Your link didn't give answer.
On Tuesday, May 5, 2015 at 7:52:11 PM UTC+3, Alexander Lindsay wrote:
>
> There's a good introduction on s
On Tue, May 5, 2015 at 12:58 PM, Jotace wrote:
> Hello,
>
> I am trying to obtain the explicit expression for the solution od an ODE, my
> code is
> var('k')
> y= function('y',x)
> h=desolve(diff(y,x) - k*y*(1-y),y, ivar=x)
> h
>
> I would like to isolate y(x) = ... (with the computer, of course)
Hello,
I am trying to obtain the explicit expression for the solution od an ODE,
my code is
var('k')
y= function('y',x)
h=desolve(diff(y,x) - k*y*(1-y),y, ivar=x)
h
I would like to isolate y(x) = ... (with the computer, of course)
I played around with h.lhs() and h.rhs(), but did not get the re
There's a good introduction on solving equations in sage here:
http://www.sagemath.org/doc/tutorial/tour_algebra.html
If you have a specific system of equations in mind, you should share them.
On 05/05/2015 08:06 AM, Paul Royik wrote:
How can I find numerical root for the system of equations?
How can I find numerical root for the system of equations?
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