deSolve is an R package with functions for solving first-order ordinary differential equations ('ODE'), partial differential equations ('PDE'), differential algebraic equations ('DAE'), and delay differential equations. This tag should be used for questions regarding how to build or debug statistical models done with functions that belong to deSolve.
Package deSolve includes functions for solving initial value problems of a system of first-order ordinary differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations (DAE), and of delay differential equations. The package provides an interface to the of the ODEPACK
FORTRAN collection and a C-implementation of solvers of the Runge-Kutta family with fixed or variable time steps. The package also contains routines designed for solving ODEs resulting from 1-D, 2-D and 3-D partial differential equations (PDE).
Official website (r-project.org)