# How to compute the monodromy group for a given differential equation.

Given a differential equation, say $\frac{d^2f}{dz^2}+\frac{f}{z-5}=0$. We know that this equation has two linearly independent solutions $f_1(z), f_2(z)$. By analytic continuation, the solution $f_i$ is taken to $g_i$, $i=1, 2$, and $g_i=c_{i1}f_1+c_{i2}f_2$. The set of matrices $(c_{ij})$ form a group called monodromy group. My question is how to compute the monodromy group explicitly?

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