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In this tutorial, we explore how to solve differential equations and build neural differential equation models using the Diffrax library. We begin by setting up a clean computational environment and installing the required scientific computing libraries such as JAX, Diffrax, Equinox, and Optax. We then demonstrate how to solve ordinary differential equations using adaptive solvers and perform dense interpolation to query solutions at arbitrary time points. As we progress, we investigate more advanced capabilities of Diffrax, including solving classical dynamical systems, working with PyTree-based states, and running batched simulations using JAX’s vectorization features. We also simulate stochastic differential equations and generate data from a dynamical system that will later be used to train a neural ordinary differential equation model.
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