Web geometry of a system of n first order autonomous ordinary differential equations

Let $dx_i/dt=f_i(x_1,\cdots,x_n)$, ($i=1,\cdots,n$) be a system of $n$ first order autonomous ordinary differential equations. We use E. Cartan's equivalence method to study the invariants of this system under diffeomorphisms of the form $Φ(t,x_1,\cdots,x_n)=(φ_0(t),φ_1(x_1),\cdots,φ_1(x_1))$.

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