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Feynman integrals associated with geometries beyond the Riemann sphere, such as elliptic, are playing an increasingly important role in modern precision calculations. A powerful way to compute these integrals is through systems of differential equations. In this talk, I will present a method to construct differential equations with some “good” properties for multi-loop Feynman integrals beyond the polylogarithmic setting, with particular emphasis on elliptic examples.