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The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the amplitudes community with the wavefunction of the universe in toy models of FRW cosmologies. To compute these FRW correlators, one often needs to evaluate integrals that are too difficult to perform by direct integration. The method of (canonical) differential equations provides an efficient alternative for evaluating these integrals. Moreover, we further develop our geometric understanding of these integrals by describing the associated relative twisted cohomology. We provide an algorithm to predict the basis size of FRW integrals and simplify the computation of the their differential equations.