一阶线性偏微分方程组的求解

树穴菜鸡

\(\sum_{i=1}^na_i\frac{\partial y}{\partial x_i}+\sum_{i=1}^nb_i\frac{\partial z}{\partial x_i}=\lambda_1y+\lambda_2z{,}\ \sum_{i=1}^nc_i\frac{\partial y}{\partial x_i}+\sum_{i=1}^nd_i\frac{\partial z}{\partial x_i}=\lambda_3y+\lambda_4z{,}\ where\ a_i{,}b_i{,}c_i{,}d_i{,}\lambda_i{,}y{,}z\ are\ functions\ of\ x_1{,}...{,}x_n\)
求解上述方程组。万分感谢！
可以有偿！