Ordinary Differential Equations
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This document explores a system of ordinary differential equations involving three variables. We will solve this system using calculus techniques and mathematical modeling approaches. The implementation typically involves numerical methods like Runge-Kutta algorithms (e.g., ode45 in MATLAB) for solving coupled ODEs. Additionally, we employ dual y-axis plotting functionality (similar to MATLAB's yyaxis function) to visualize our equation system, enabling better understanding of its behavior and characteristics. We will examine the solution trajectories, analyze their mathematical properties, and investigate practical applications in real-world problems. Through this detailed analysis, we will deepen our mathematical knowledge and build foundation for future mathematical modeling challenges. The code implementation would involve defining derivative functions, setting initial conditions, and configuring plot properties for clear dual-axis representation.
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