From 2cc01c3a863857a9affaea4125a80894c0af0fa1 Mon Sep 17 00:00:00 2001
From: Lucas <54046842+macquarrielucas@users.noreply.github.com>
Date: Fri, 24 Jan 2025 15:21:27 -0400
Subject: [PATCH] Included definition of v in this example

Previously v was left undefined in this example. I added the system of ODEs you can from this second order differential equation so that readers know that v is. Perhaps this is obvious from physics perspective but not necessarily from other practices.
---
 docs/src/examples/tensor_layer.md | 7 +++++++
 1 file changed, 7 insertions(+)

diff --git a/docs/src/examples/tensor_layer.md b/docs/src/examples/tensor_layer.md
index 4bb7e3cae..78871b6eb 100644
--- a/docs/src/examples/tensor_layer.md
+++ b/docs/src/examples/tensor_layer.md
@@ -9,6 +9,13 @@ Let's consider the anharmonic oscillator described by the ODE
 ẍ = - kx - αx³ - βẋ -γẋ³.
 ```
 
+We first transform this second order differential equation into a system of first order
+differential equations for use in `DiffEqFlux`: We let `ẋ = v` then 
+```math
+ẋ = v \\
+v̇ = - kx - αx³ - βv̇ -γv̇³.
+```
+
 To obtain the training data, we solve the equation of motion using one of the
 solvers in `DifferentialEquations`: