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Topic: How to use Mathematica find the solution of an
Replies: 5   Last Post: May 28, 2013 3:49 AM

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Bob Hanlon

Posts: 906
Registered: 10/29/11
Re: How to use Mathematica find the solution of an
Posted: May 24, 2013 5:25 AM
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The equation does not appear to have a solution except as a limit (from
below) but then the solution is either -1 or 1.


eqn = Arg[-(I/((1 + I w)^2 w))] == -Pi;


eqn // Simplify


False


eqn /. {{w -> -1}, {w -> 1}}


{False, False}


Limit[Arg[-(I/((1 + I w)^2 w))],
w -> -1, Direction -> 1] == -Pi


True


Limit[Arg[-(I/((1 + I w)^2 w))],
w -> 1, Direction -> 1] == -Pi


True



Bob Hanlon




On Thu, May 23, 2013 at 4:04 AM, Eduardo M. A. M. Mendes <
emammendes@gmail.com> wrote:

> Hello
>
> I need to solve the following equation:
>
> Arg[-(I/((1+I \[Omega])^2 \[Omega]))]==-\[Pi]
>
> I have tried Solve (empty output), Reduce (it gives some results but not
> the answer Omega=1) and FindRoot (it gives Omega=1 but it is a
> numerical search). Is there a way to get the solution not using a
> numerical search?
>
> Many thanks
>
> Ed
>
> PS. I need to solve several equation of the same kind.
>
>




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