Matlab ODE Problem (paritcle trajectory)

In summary, a Matlab ODE problem is a mathematical model used to describe the behavior of a system over time, specifically in the context of particle trajectory. Matlab solves ODE problems using numerical methods, such as the forward Euler method, the Runge-Kutta method, and the Adams-Bashforth method. It has the ability to handle various types of ODE problems, including first-order, second-order, and higher-order equations, as well as systems of ODEs. Matlab has several advantages for particle trajectory calculations, such as its ability to manipulate equations, plot and analyze data, and handle complex systems. However, it may struggle with stiff equations and take longer to solve complex systems.
  • #1
intrepid44
3
0
Hi, I currently have this problem to solve, and I'm quite stuck. I would much appreciate it if anyone could point me in the direction on how to solve it.

m1.png


This is my go at it, although currently I don't have access to MATLAB until tomorrow as the university library has now closed.

m2.png


Is this the correct way to get the motion? If I then turn it into a function?

Many thanks.

Regards,
intrepid44
 
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  • #2
The last bit should be: >> f = @(t,z) [z(2);-1.962*z(1)-2.943];
 
  • #3
Got it sorted, never mind.
 

FAQ: Matlab ODE Problem (paritcle trajectory)

What is a Matlab ODE problem and how is it related to particle trajectory?

A Matlab ODE (ordinary differential equation) problem is a mathematical model that describes the behavior of a system over time. In the context of particle trajectory, this means using ODEs to calculate and predict the position and movement of a particle in space.

How does Matlab solve ODE problems and what methods does it use?

Matlab uses numerical methods to solve ODE problems. This includes the forward Euler method, the Runge-Kutta method, and the Adams-Bashforth method. These methods involve breaking down the problem into smaller steps and using iterative calculations to approximate the solution.

Can Matlab handle different types of ODE problems?

Yes, Matlab has the ability to solve a wide range of ODE problems, including first-order, second-order, and higher-order equations. It also has the capability to solve systems of ODEs, where multiple equations are interconnected.

What are the advantages of using Matlab for particle trajectory calculations?

Matlab is a powerful tool for solving ODE problems and has several advantages for particle trajectory calculations. It allows for easy manipulation of equations, has built-in functions for plotting and analyzing data, and can handle complex systems with ease. Additionally, Matlab has a user-friendly interface and a large community of users, making it a valuable resource for scientists and researchers.

Are there any limitations to using Matlab for ODE problems?

While Matlab is a versatile tool, it does have some limitations when it comes to solving ODE problems. It may struggle with stiff equations, which are equations that have rapidly changing solutions. In addition, it may take longer to solve complex systems with a large number of equations and variables. It is important to carefully consider the limitations of Matlab when using it for ODE problems and to explore alternative methods if necessary.

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