Solving Differential Equations in matlab

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SUMMARY

The discussion focuses on solving a system of differential equations using MATLAB's ODE solvers, specifically Ode23 and Ode45. The equations involve constants a1, b2, c, d, a2, and variables x1 (theta_dot), x2 (theta_ddot), x3 (alpha_dot), and x4 (alpha_ddot). The user seeks to find solutions for x1, x2, x3, and x4 over time and is advised to consult MATLAB's help documentation for guidance on implementing these solvers.

PREREQUISITES
  • Understanding of differential equations and their representations.
  • Familiarity with MATLAB programming environment.
  • Knowledge of ODE solvers, specifically Ode23 and Ode45.
  • Basic plotting techniques in MATLAB for visualizing results.
NEXT STEPS
  • Research the implementation of Ode23 and Ode45 in MATLAB for solving differential equations.
  • Learn how to define and manipulate symbolic equations in MATLAB.
  • Explore MATLAB's plotting functions to visualize the solutions over time.
  • Investigate advanced techniques for solving stiff differential equations if applicable.
USEFUL FOR

Mathematics students, engineers, and researchers who need to solve and visualize systems of differential equations using MATLAB.

vijaymarathe
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I have following Differential Equations

a1*x2+b2*x1-c*cos(int(x3))*x4=d
-c*cos(int(x3))*x2-a2*sin(int(x3))+b2*x4=0

where a1,b2,c,d,a2,b2 are constants and x1=theta_dot; x2=theta_ddot; x3=alpha_dot; x4=alpha_ddot

I want to solve these equations for x1,x2,x3,x4 and want to plot with time.
 
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Just look up Ode23 (or maybe Ode45, try both) in the help...
 

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