On Jun 24, 9:20 pm, Alan Bromborsky wrote:
> The equation reduces to exp(w) = 2*exp(2)*w where w = x*(x-3)+2.
> Wouldn't the solution of w have to be numerical?
> Is this what you are looking for?
...I think it's exp(w)=2*(w+2). And that's the key. When put in this
form, the online Mathematica
On Jun 25, 12:16 am, Ondrej Certik wrote:
> Well, it works for some equations already:
>
I am trying to get it to work for more cases using the general form
that I noted above (a*f(x)+log(c*f(x)+d)=b with solution f(x)=LambertW
(a*exp(b + a*d/c)/c)/a - d/c
While working through the existing p
Thanks for that ref...I've got it bookmarked now.
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On Wed, Jun 24, 2009 at 1:09 PM, Aaron S. Meurer wrote:
>
> Oh. I looked at the lowercase l's in dir(), so I didn't see it. It
> would be great if solve(x*exp(x)-y,x) returned LambertW(y) (now it
> raises NotImplemented), and then we could expand it to solve the
> equation below.
Well, it works
Oh. I looked at the lowercase l's in dir(), so I didn't see it. It
would be great if solve(x*exp(x)-y,x) returned LambertW(y) (now it
raises NotImplemented), and then we could expand it to solve the
equation below.
Aaron Meurer
On Jun 24, 2009, at 12:54 PM, Ondrej Certik wrote:
>
> On We
On Wed, Jun 24, 2009 at 12:51 PM, Aaron S. Meurer wrote:
>
> Or you could use the LambertW function. Maple gives
> > solve(exp(x*(x-3))=2*(x-1)*(x-2),x);
> 3/2+(1/2)*sqrt(1-4*LambertW(-(1/2)*exp(-2))), 3/2-
> (1/2)*sqrt(1-4*LambertW(-(1/2)*exp(-2))),
> 3/2+(1/2)*sqrt(1-4*LambertW(-1, -(1/2)*exp(
Or you could use the LambertW function. Maple gives
> solve(exp(x*(x-3))=2*(x-1)*(x-2),x);
3/2+(1/2)*sqrt(1-4*LambertW(-(1/2)*exp(-2))), 3/2-
(1/2)*sqrt(1-4*LambertW(-(1/2)*exp(-2))),
3/2+(1/2)*sqrt(1-4*LambertW(-1, -(1/2)*exp(-2))), 3/2-
(1/2)*sqrt(1-4*LambertW(-1, -(1/2)*exp(-2)))
from ?L
Ondrej Certik wrote:
> On Wed, Jun 24, 2009 at 6:18 AM, Sebastian Haase wrote:
>
>> On Wed, Jun 24, 2009 at 11:06 AM, smichr wrote:
>>
>>> If someone has access to Mathematica, could you see if it solves the
>>> equation,
>>>
>>> exp(x*(x-3))=2*(x-1)*(x-2)
>>>
>>> The Web-mathematica does
On Wed, Jun 24, 2009 at 6:18 AM, Sebastian Haase wrote:
>
> On Wed, Jun 24, 2009 at 11:06 AM, smichr wrote:
>>
>> If someone has access to Mathematica, could you see if it solves the
>> equation,
>>
>> exp(x*(x-3))=2*(x-1)*(x-2)
>>
>> The Web-mathematica doesn't
>> (at
>> http://72.3.253.76/webM
On Wed, Jun 24, 2009 at 11:06 AM, smichr wrote:
>
> If someone has access to Mathematica, could you see if it solves the
> equation,
>
> exp(x*(x-3))=2*(x-1)*(x-2)
>
> The Web-mathematica doesn't
> (at
> http://72.3.253.76/webMathematica3/quickmath/page.jsp?s1=equations&s2=solve&s3=basic)
> and
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