MTH112-ArtProject ✨

Arthor-Yunxian Ding

Overview ⚙️

• This project is a simple Java program that solves first-order differential equations using Euler's Method.
• I created it for personal use for MTH112 course at Smith College.
• It explores the connection between calculus and computer programming.
• Feel free to fork and make your own version.
• Please consider give a star if you like it!😄

Files 📂

• EulerCalculator.java represents a class of calculator that use Euler's method to approximate solutions.
• Main.java provides a console interface for user input.
• README.md provides description about the project.

How It Works 🖥️

Euler's method approximates the solution to a first-order differential equation using the formula:

delta_y = (dy/dx) * delta_x

In this project, the differential equation is:

dy/dx = x + y

The program:

1. Prompts the user to enter initial values (x₀, y₀), a final x-value (x_f), and the number of steps.
2. Calculates the approximate value of y at x = x_f using Euler's method.
3. Displays a description and the final result.

Notes 📝

• The program currently only supports the differential equation dy/dx = x + y.
• User input must be valid numbers.