\[ \left \{\text {a11} x''(t)+\text {a12} y''(t)+\text {b11} x'(t)+\text {b12} y'(t)+\text {c11} x(t)+\text {c12} y(t)=0,\text {a21} x''(t)+\text {a22} y''(t)+\text {b21} x'(t)+\text {b22} y'(t)+\text {c21} x(t)+\text {c22} y(t)=0\right \} \] ✓ Mathematica : cpu = 0.248366 (sec), leaf count = 7517
\[\left \{\left \{x(t)\to c_4 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {\text {a21}^2 \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^3-\text {a21}^2 \text {a22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2-2 \text {a11} \text {a21} \text {a22} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2+\text {a21} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}^2+2 \text {a11} \text {a21} \text {a22}^2 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}+\text {a11}^2 \text {a22}^2 \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}-\text {a21} \text {a22} \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}-\text {a11} \text {a22} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}-\text {a11}^2 \text {a22}^3 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a11} \text {a22}^2 \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]-c_3 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {\text {a21}^2 \text {b22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2-\text {a21}^2 \text {b12} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2-\text {a21} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}^2-2 \text {a11} \text {a21} \text {a22} \text {b22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}+2 \text {a11} \text {a21} \text {a22} \text {b12} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}+\text {a21} \text {a22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}+\text {a11} \text {a22} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a11} \text {a22}^2 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]-c_2 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {-\text {a22}^2 \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^3+\text {a21} \text {a22}^2 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2+2 \text {a12} \text {a21} \text {a22} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2+\text {a22} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}^2-2 \text {a12} \text {a21}^2 \text {a22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}-\text {a12}^2 \text {a21}^2 \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}-\text {a22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2 \text {a11}-\text {a21} \text {a22} \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}-\text {a12} \text {a21} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}+\text {a12}^2 \text {a21}^3 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a12} \text {a21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]+c_1 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^3-\text {a22} \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a21} \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2-\text {a11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a12} \text {a21} \text {b12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a11} \text {a22} \text {b12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a12} \text {a21} \text {b11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a11} \text {a22} \text {b11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a12} \text {a21}^2 \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a11} \text {a21} \text {a22} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a11} \text {a12} \text {a21} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a11}^2 \text {a22} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}}{4 \text {$\#$1}^3-3 \text {a22} \text {b11} \text {$\#$1}^2+3 \text {a21} \text {b12} \text {$\#$1}^2+3 \text {a12} \text {b21} \text {$\#$1}^2-3 \text {a11} \text {b22} \text {$\#$1}^2+2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}-2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}-2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}+2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}+2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}-2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}+2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}-2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}+2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}+2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ],y(t)\to c_2 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {-\text {a22}^2 \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^3+\text {a21} \text {a22}^2 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2+2 \text {a12} \text {a21} \text {a22} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2+\text {a22} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}^2-2 \text {a12} \text {a21}^2 \text {a22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}-\text {a12}^2 \text {a21}^2 \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}-\text {a21} \text {a22} \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}-\text {a12} \text {a21} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}+\text {a12}^2 \text {a21}^3 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a12} \text {a21}^2 \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]+c_1 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {\text {a22}^2 \text {b21} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2-\text {a22}^2 \text {b11} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}^2+\text {a22} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}^2-2 \text {a12} \text {a21} \text {a22} \text {b21} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}+2 \text {a12} \text {a21} \text {a22} \text {b11} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a11}-\text {a21} \text {a22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}-\text {a12} \text {a21} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a11}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a12} \text {a21}^2 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]-c_4 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {\text {a21}^2 \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^3-\text {a21}^2 \text {a22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2-2 \text {a11} \text {a21} \text {a22} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}^2+\text {a21} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}^2+2 \text {a11} \text {a21} \text {a22}^2 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}+\text {a11}^2 \text {a22}^2 \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {a12}+\text {a21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2 \text {a12}-\text {a21} \text {a22} \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}-\text {a11} \text {a22} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1} \text {a12}-\text {a11}^2 \text {a22}^3 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a11} \text {a22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}}{-4 \text {$\#$1}^3+3 \text {a22} \text {b11} \text {$\#$1}^2-3 \text {a21} \text {b12} \text {$\#$1}^2-3 \text {a12} \text {b21} \text {$\#$1}^2+3 \text {a11} \text {b22} \text {$\#$1}^2-2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}+2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}+2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}-2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}+2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}-2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}+2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}-2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}-2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}+\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}-\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}-\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}-\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}-\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}+\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}+\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]+c_3 \text {RootSum}\left [\text {$\#$1}^4-\text {a22} \text {b11} \text {$\#$1}^3+\text {a21} \text {b12} \text {$\#$1}^3+\text {a12} \text {b21} \text {$\#$1}^3-\text {a11} \text {b22} \text {$\#$1}^3+\text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}^2-\text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}^2-\text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}^2+\text {a11} \text {a22}^2 \text {c11} \text {$\#$1}^2-\text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}^2+\text {a12} \text {a21}^2 \text {c12} \text {$\#$1}^2-\text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}^2+\text {a12}^2 \text {a21} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}^2-\text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}^2+\text {a11}^2 \text {a22} \text {c22} \text {$\#$1}^2-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12} \text {$\#$1}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} \text {$\#$1}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22} \text {$\#$1}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22} \text {$\#$1}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22} \text {$\#$1}+\text {a12}^3 \text {a21}^3 \text {c12} \text {c21}-\text {a11}^3 \text {a22}^3 \text {c12} \text {c21}+3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c12} \text {c21}-3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c12} \text {c21}-\text {a12}^3 \text {a21}^3 \text {c11} \text {c22}+\text {a11}^3 \text {a22}^3 \text {c11} \text {c22}-3 \text {a11}^2 \text {a12} \text {a21} \text {a22}^2 \text {c11} \text {c22}+3 \text {a11} \text {a12}^2 \text {a21}^2 \text {a22} \text {c11} \text {c22}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^3-\text {a22} \text {b11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a21} \text {b12} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2-\text {a11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}^2+\text {a12} \text {a21} \text {b12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a11} \text {a22} \text {b12} \text {b21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a12} \text {a21} \text {b11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a11} \text {a22} \text {b11} \text {b22} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a11} \text {a22}^2 \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a12} \text {a21} \text {a22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}+\text {a12}^2 \text {a21} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a11} \text {a12} \text {a22} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21} e^{\frac {t \text {$\#$1}}{\text {a12} \text {a21}-\text {a11} \text {a22}}}}{4 \text {$\#$1}^3-3 \text {a22} \text {b11} \text {$\#$1}^2+3 \text {a21} \text {b12} \text {$\#$1}^2+3 \text {a12} \text {b21} \text {$\#$1}^2-3 \text {a11} \text {b22} \text {$\#$1}^2+2 \text {a12} \text {a21} \text {b12} \text {b21} \text {$\#$1}-2 \text {a11} \text {a22} \text {b12} \text {b21} \text {$\#$1}-2 \text {a12} \text {a21} \text {b11} \text {b22} \text {$\#$1}+2 \text {a11} \text {a22} \text {b11} \text {b22} \text {$\#$1}+2 \text {a11} \text {a22}^2 \text {c11} \text {$\#$1}-2 \text {a12} \text {a21} \text {a22} \text {c11} \text {$\#$1}+2 \text {a12} \text {a21}^2 \text {c12} \text {$\#$1}-2 \text {a11} \text {a21} \text {a22} \text {c12} \text {$\#$1}+2 \text {a12}^2 \text {a21} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a22} \text {c21} \text {$\#$1}-2 \text {a11} \text {a12} \text {a21} \text {c22} \text {$\#$1}+2 \text {a11}^2 \text {a22} \text {c22} \text {$\#$1}-\text {a12}^2 \text {a21}^2 \text {b22} \text {c11}-\text {a11}^2 \text {a22}^2 \text {b22} \text {c11}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b22} \text {c11}+\text {a12}^2 \text {a21}^2 \text {b21} \text {c12}+\text {a11}^2 \text {a22}^2 \text {b21} \text {c12}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b21} \text {c12}+\text {a12}^2 \text {a21}^2 \text {b12} \text {c21}+\text {a11}^2 \text {a22}^2 \text {b12} \text {c21}-2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b12} \text {c21}-\text {a12}^2 \text {a21}^2 \text {b11} \text {c22}-\text {a11}^2 \text {a22}^2 \text {b11} \text {c22}+2 \text {a11} \text {a12} \text {a21} \text {a22} \text {b11} \text {c22}}\& \right ]\right \}\right \}\] ✓ Maple : cpu = 0.227 (sec), leaf count = 1008
\[\left \{\left \{x \left (t \right ) = \moverset {4}{\munderset {\textit {\_a} =1}{\sum }}\textit {\_C}_{\textit {\_a}} {\mathrm e}^{t \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )}, y \left (t \right ) = \frac {-\left (\mathit {a12}^{2} \mathit {c21} \mathit {c22} +\mathit {a22}^{2} \mathit {c11} \mathit {c12} +\left (-\mathit {a22} \mathit {c11} \mathit {c22} -\mathit {a22} \mathit {c12} \mathit {c21} -\mathit {b12} \mathit {b22} \mathit {c21} +\mathit {b22}^{2} \mathit {c11} \right ) \mathit {a12} +\left (\mathit {b12}^{2} \mathit {c21} -\mathit {b12} \mathit {b22} \mathit {c11} \right ) \mathit {a22} \right ) \left (\moverset {4}{\munderset {\textit {\_a} =1}{\sum }}\textit {\_C}_{\textit {\_a}} {\mathrm e}^{t \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )}\right )+\left (\left (-\mathit {b21} \mathit {c22} +\mathit {b22} \mathit {c21} \right ) \mathit {a12}^{2}+\left (-\mathit {b11} \,\mathit {b22}^{2}+\mathit {b12} \mathit {b21} \mathit {b22} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} +\mathit {b21} \mathit {c12} -\mathit {b22} \mathit {c11} \right ) \mathit {a22} \right ) \mathit {a12} +\left (\mathit {b11} \mathit {b12} \mathit {b22} -\mathit {b12}^{2} \mathit {b21} +\left (-\mathit {b11} \mathit {c12} +\mathit {b12} \mathit {c11} \right ) \mathit {a22} \right ) \mathit {a22} \right ) \left (\moverset {4}{\munderset {\textit {\_a} =1}{\sum }}\textit {\_C}_{\textit {\_a}} \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right ) {\mathrm e}^{t \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )}\right )+\left (\left (-\mathit {a21} \mathit {c22} +\mathit {b21} \mathit {b22} \right ) \mathit {a12}^{2}+\left (-\mathit {a11} \,\mathit {b22}^{2}+\mathit {a21} \mathit {b12} \mathit {b22} +\left (\mathit {a11} \mathit {c22} +\mathit {a21} \mathit {c12} -\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \mathit {a22} \right ) \mathit {a12} +\left (\mathit {a11} \mathit {b12} \mathit {b22} -\mathit {a21} \,\mathit {b12}^{2}+\left (-\mathit {a11} \mathit {c12} +\mathit {b11} \mathit {b12} \right ) \mathit {a22} \right ) \mathit {a22} \right ) \left (\moverset {4}{\munderset {\textit {\_a} =1}{\sum }}\textit {\_C}_{\textit {\_a}} \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )^{2} {\mathrm e}^{t \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )}\right )-\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \left (\mathit {a12} \mathit {b22} -\mathit {a22} \mathit {b12} \right ) \left (\moverset {4}{\munderset {\textit {\_a} =1}{\sum }}\textit {\_C}_{\textit {\_a}} \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )^{3} {\mathrm e}^{t \RootOf \left (\left (\mathit {a22} \mathit {a11} -\mathit {a21} \mathit {a12} \right ) \textit {\_Z}^{4}+\left (\mathit {a11} \mathit {b22} -\mathit {b21} \mathit {a12} -\mathit {a21} \mathit {b12} +\mathit {a22} \mathit {b11} \right ) \textit {\_Z}^{3}+\left (\mathit {a11} \mathit {c22} -\mathit {c21} \mathit {a12} -\mathit {a21} \mathit {c12} +\mathit {a22} \mathit {c11} +\mathit {b22} \mathit {b11} -\mathit {b12} \mathit {b21} \right ) \textit {\_Z}^{2}+\mathit {c11} \mathit {c22} -\mathit {c12} \mathit {c21} +\left (\mathit {b11} \mathit {c22} -\mathit {b12} \mathit {c21} -\mathit {b21} \mathit {c12} +\mathit {b22} \mathit {c11} \right ) \textit {\_Z} , \mathit {index} =\textit {\_a} \right )}\right )}{\mathit {a12}^{2} \mathit {c22}^{2}+\mathit {a22}^{2} \mathit {c12}^{2}+\left (-2 \mathit {a22} \mathit {c12} \mathit {c22} -\mathit {b12} \mathit {b22} \mathit {c22} +\mathit {b22}^{2} \mathit {c12} \right ) \mathit {a12} +\left (\mathit {b12}^{2} \mathit {c22} -\mathit {b12} \mathit {b22} \mathit {c12} \right ) \mathit {a22}}\right \}\right \}\]