  We explore how a continuous-variable (CV) quantum computer could solve a
classic differential equation, making use of its innate capability to represent
real numbers in qumodes. Specifically, we construct variational CV quantum
circuits [Killoran et al., Phys.~Rev.~Research 1, 033063 (2019)] to approximate
the solution of one-dimensional ordinary differential equations (ODEs), with
input encoding based on displacement gates and output via measurement averages.
Our simulations and parameter optimization using the PennyLane / Strawberry
Fields framework demonstrate good convergence for both linear and non-linear
ODEs.
