From 09fba37e48f2574a9e12211ab1ee53c99c05d8be Mon Sep 17 00:00:00 2001 From: maxymoo22 Date: Mon, 2 Aug 2021 11:05:46 +1200 Subject: [PATCH] Added readme --- README.md | 19 +++++++++++++++++++ demo.png | Bin 0 -> 117480 bytes 2 files changed, 19 insertions(+) create mode 100644 README.md create mode 100644 demo.png diff --git a/README.md b/README.md new file mode 100644 index 0000000..766d7d0 --- /dev/null +++ b/README.md @@ -0,0 +1,19 @@ +# DDF + +Differential Direction Field. A windows forms app for estimating solutions to first order differential equations. + +This app allows you to input a differential equation and an initial value so a particular solution can be determined. It will then calculate a specified number of estimates and plot them on a graph. + +## Installation + +If you want to clone/download this repository and run the code yourself: +The code relies on the nuget packages `OxyPlot.WindowsForms` and `MathParser.org-mXparser`. You may need to install these packages manually. + +For a prebuilt version, head over to the [releases](https://github.com/maxymoo22/DifferentialDirectionField/releases/latest) page to get the latest `.exe`. + +## Usage + +Example +Put your differential equation into the input box on the left. Just to be annoying, it requires dx/dt instead of dy/dx. Choose an initial value so the program can get the specific solution. The step size is the distance between points. A smaller step size will produce a more accurate graph. You can also choose the number of points to estimate - a large number of points may take some time. +In the example above, I've put dx/dt = x as the differential equation. With a starting value of (0, 1), we can see (from looking at the estimate) that the solution curve looks like an exponential. +Note that this is just an example. dx/dt = x is simple to solve (we know that the solution curve is x=e^t), so we don't need to use this program. 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