# solve linear system with non-constant coefficientss

I would like to solve a linear system of two differential equations with non-constant coefficients. Namely a system of the form $$\begin{pmatrix}u_1 \\ u_2\end{pmatrix}'=A\begin{pmatrix}u_1 \\ u_2\end{pmatrix}$$

where $A=\begin{pmatrix}a &b\\ c& d\end{pmatrix}$ and $a,b,c,d$ are given holomorphic functions.

I'm mainly interested in integrate such a system along paths

Please give us the functions, else there is hard to provide code.

(Or at least a special case, that comes with the problems.)

A possible reference to start with is desolvers . Some ode solvers do the job numerically.