Calculating first integral

Hello! I have an ODE system of 7 equations, and calculating the first integral analytically is a bit difficult for me. Are there packages for calculating the first integral of the ODE system?
Thank you for help

In general, there won’t be a closed form analytical integral of an ODE system, and you’ll have to solve the ODE numerically. For numerical ODE solvers in Julia, see DifferentialEquations.jl

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Thank you