I want to solve this four equations and rearrange it into four equation (g1,g2,J1,J2 in terms of a and h). I leave it to run around 12 hours but it show me nothing.
I tried simple equation with same format, it can be solved.
I also tried to solve the equation separately but there are many possible answers due to it is nonlinear equation.
I am new in using Wolfram Mathematica. Can anyone help me with this? or at least explain to me why it run for a long time but cannot be solve. Thank you in advance.
The rules explain how to format your code properly. If you do not format code, it may become corrupted and useless to other members. Please EDIT your post and make sure code blocks start on a new paragraph and look framed and colored like this.
int = Integrate[1/(x^3 - 1), x];
Map[Framed, int, Infinity]
More often than not you will need to put some limits on your variables, for example a>0, a<100, if you don’t know what kind of results to expect I would start low with the limits. However, if you post your code so we can copy it we can be more specific with an answer.
and the first of those is equal to a simple expression without needing to divide or square any expression. You can turn your system into three equations without square roots by substituting that simple expression into your other equation. Solve should be much faster if it does not have to deal with square roots.
If you then use Simplify on the remaining three equations you should find one equation of the form
numerator/denominator==0
and that can be replaced with
numerator==0
as long as you check after you are finished that the denominator was not equal to zero in your solutions.
That should give you three fairly simply polynomial equations and
Solve[{three resulting polynomals==0},{g1,g2,j1}]
should give you large complicated solutions in a few seconds.
It may be possible with more calculation time to Solve for all four variables, but that is less certain.