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The general workflow is to define a problem, solve the problem, and then analyze the solution.

We know by calculus that the solution to this equation is $u(t)=u₀\exp(αt)$. On the time interval $t\in$ where $f(u,p,t)=αu$. In this example we will solve the equation Additionally, a video tutorial walks through this material. Other introductions can be found by checking out DiffEqTutorials.jl. This tutorial will introduce you to the functionality for solving ODEs.  Edit on GitHub Ordinary Differential Equations Local Sensitivity Analysis (Automatic Differentiation).Parameter Estimation and Bayesian Analysis.DiffEqFunctions (Jacobians, Gradients, etc.) and Jacobian Types.Jump Problem and Jump Diffusion Solvers.Dynamical, Hamiltonian, and 2nd Order ODE Solvers.Non-autonomous Linear ODE / Lie Group ODE Solvers.Dynamical, Hamiltonian and 2nd Order ODE Problems.Non-autonomous Linear ODE / Lie Group Problems.Continuous-Time Jump Processes and Gillespie Methods.Going Beyond ODEs: How to Use the Documentation.Example 4: Using Other Types for Systems of Equations.Example 3: Solving Nonhomogeneous Equations using Parameterized Functions.