solve equations problem symbolic math toolbox

Hello,

I have some equations to solve, here both equations, but matlab does not succeed.

First example

syms a11 a12 a13 a14 a21 a22 a23 a24 a31 a32 a33 a34 r x tL tF
solve(x*(a34*(a11*x+a14)-a14*(a31*x+a34))*(-(a33*r*(1-tL^2))/(tL^2+1)+(2*a32*r*tL)/ ...
(tL^2+1)+a34)-a31*x*(-(a33*r*(1-tL^2))/(tL^2+1)+(2*a32*r*tL)/ ...
(tL^2+1)+a34)-x*(a14*(a21*x+a24)-a24*(a11*x+a14))* ...
(-(a23*r*(1-tL^2))/(tL^2+1)+(2*a22*r*tL)/(tL^2+1)+a24)-a21*x ...
*(-(a23*r*(1-tL^2))/(tL^2+1)+(2*a22*r*tL)/(tL^2+1)+a24)-a11*x* ...
(-(a13*r*(1-tL^2))/(tL^2+1)+(2*a12*r*tL)/(tL^2+1)-x+a14) == 0, ...
(a23*r*(1-tL^2))/(tL^2+1)-(2*a22*r*tL)/(tL^2+1)-(2*r*tF*((x- ...
a13*r-a14)*tL^2-2*a12*r*tL+x+a13*r-a14))/((tF^2+1)*(x*tL^2+x))-a24 == 0, ...
(a33*r*(1-tL^2))/(tL^2+1)-(2*a32*r*tL)/(tL^2+1)+(r*(1-tF^2)* ...
((x-a13*r-a14)*tL^2-2*a12*r*tL+x+a13*r-a14))/((tF^2+1)*(x*tL^2+x))-a34 == 0,x,tF,tL);

second example

syms a11 a12 a13 a14 a21 a22 a23 a24 a31 a32 a33 a34 r x tL tF
solve((r*x*(a34*(a11*x+a14)-a14*(a31*x+a34))*(1-tF^2))/(tF^2+1)-(a31* ...
r*x*(1-tF^2))/(tF^2+1)+(2*r*x*(a14*(a21*x+a24)-a24*(a11*x+a14))* ...
tF)/(tF^2+1)+(2*a21*r*x*tF)/(tF^2+1)+a11*x^2 == 0, ...
(a23*r*(1-tL^2))/(tL^2+1)-(2*a22*r*tL)/(tL^2+1)-(2*r*tF*((x- ...
a13*r-a14)*tL^2-2*a12*r*tL+x+a13*r-a14))/((tF^2+1)*(x*tL^2+x))-a24 == 0, ...
(a33*r*(1-tL^2))/(tL^2+1)-(2*a32*r*tL)/(tL^2+1)+(r*(1-tF^2)* ...
((x-a13*r-a14)*tL^2-2*a12*r*tL+x+a13*r-a14))/((tF^2+1)*(x*tL^2+x))-a34 == 0,x,tF,tL);

the matlab response in both cases is

"Warning: Explicit solution could not be found. "

I tried out and found out that MAXIMA and AXIOM also fail. But as far as I know, this equations can be solved with CAS.

Must I forumulate the solve inquiry in a different way or manipulate the formula?

Best Regards

Erik

[RahulTandon]

please try the partfrac() function of MuPad, here!