Although I am not sure why `solve` doesn't do so automatically, you can
find the solutions for `e` and `f` by sending only the pertinent
expressions to `solve`:
solve([ (g + (g - 1)*exp(a*e)*exp(b*f))*(exp(c*e)*exp(d*f) + 1) , (h + (h -
1)*exp(c*e)*exp(d*f))*(exp(a*e)*exp(b*f) + 1)], e, f)
[(log(-g*exp(-b*(a*log(-h/(h - 1)) - c*log(-g/(g - 1)))/(a*d - b*c))/(g -
1))/a, (a*log(-h/(h - 1)) - c*log(-g/(g - 1)))/(a*d - b*c)),
(log(-exp(-I*pi*d*(a - c)/(a*d - b*c)))/c, I*pi*(a - c)/(a*d - b*c))]
On Sunday, December 4, 2022 at 5:26:26 AM UTC-6 playe....@gmail.com wrote:
> Hello all,
>
> I have a problem from trying to solve an equation
>
> ```
> import sympy as sp
> a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,t,u,v,w,x,y,z = sp.symbols('
> a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,t,u,v,w,x,y,z',non_zero=True, real=True)
>
> expr1 = a*(g + (g - 1)*exp(a*e)*exp(b*f))*(exp(c*e)*exp(d*f) + 1) + c*(h
> + (h - 1)*exp(c*e)*exp(d*f))*(exp(a*e)*exp(b*f) + 1)
> expr2 =
> b*(g + (g - 1)*exp(a*e)*exp(b*f))*(exp(c*e)*exp(d*f) + 1) + d*(h + (h -
> 1)*exp(c*e)*exp(d*f))*(exp(a*e)*exp(b*f) + 1)
>
> solve([expr1,expr2],[e,f])
> ```
>
> I know there is a solution because
>
> ```
> import sympy as sp
> a,b,c,d = sp.symbols(' a,b,c,d',non_zero=True, real=True)
> g,h = sp.symbols(' g,h',,real=True)
> expr1 = a*g +c*h
> expr2 = b*g +d*h
> solve([expr1,expr2],[g,h])
> ```
> gives {h:0,g:0}
>
> Do you have any tips ?
>
> Thanks a lot
>
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