Update README.md

Author: dmitryesin

README.md

@@ -1,21 +1,39 @@
-<h1 align="center"> Diffy Bot </h1>
+<h1 align="center"> Diffy Bot: Differential Equation Solver </h1>
 
 <img src="docs/images/preview.png" class="center">
 
-This bot is designed to solve differential equations of various orders using numerical methods such as Euler's Method, Improved Euler's Method, Runge-Kutta Method, and Dormand-Prince Method. It provides a Telegram interface for users to input equations and receive solutions.
+<p align="center"> <em> A powerful Telegram bot designed for solving differential equations using advanced numerical methods. </em> </p>
 
 ## Features
 
-- Supports solving 1st and higher-order differential equations.
-- Multiple numerical methods available:
-  - Euler's Method
-  - Improved Euler's Method
-  - Runge-Kutta Method
-  - Dormand-Prince Method
-- Generates plots of solutions for better visualization.
-- Solution history tracking.
-- Multilingual support.
-- Configurable settings for numerical methods, rounding precision, and language.
+- **Equation Solving**  
+  Capable of solving first-order and higher-order ordinary differential equations (ODEs).  
+  The bot accepts user-defined equations and initial conditions, automatically parsing and preparing them for numerical analysis.
+
+- **Numerical Methods**  
+  Implements a range of well-established numerical methods to approximate solutions with varying degrees of accuracy and computational efficiency:
+  - Euler's Method;
+  - Midpoint Method;
+  - Heun's Method;
+  - Runge-Kutta Method;
+  - Dormand-Prince Method.
+
+- **Visualization**  
+  Automatically generates clear and informative plots of the computed solutions.  
+  These visualizations help users interpret the behavior of differential systems over time.
+
+- **History Tracking**  
+  Maintains a record of previously solved equations and their corresponding results, enabling users to revisit and review past computations.
+
+- **Multilingual Support**  
+  Offers interaction in multiple languages, enhancing accessibility and usability for users from diverse linguistic backgrounds.
+
+- **Customizable Settings**  
+  Provides a flexible interface for tailoring computational and interaction parameters to user preferences:
+  - **Numerical Method** – Choose from a list of supported methods (e.g., Euler, Runge-Kutta, Dormand-Prince).  
+  - **Precision Control** – Set the number of decimal places to which numerical results are rounded.  
+  - **Language Selection** – Choose the interface language for all commands and responses.  
+  - **Hints Toggle** – Enable or disable contextual tips and usage hints to streamline the interface.
 
 ## License