Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

To resolve issues starting MATLAB on Mac OS X 10.10 (Yosemite) visit: http://www.mathworks.com/matlabcentral/answers/159016

100 Equations, 101 Variables, Systems of Equations Shortcuts?

Asked by Matthew on 27 Apr 2011

I have 100 equations and 101 variables. I'm trying to find all variables as a function of one variable i.e. x = f(t); y = g(t); ......, etc. I already have all the equations on a text file in linear form (i.e. y = x + 3t, etc). I was wondering how I would be able to solve it using one of these two ways: 1) I can make a matrix of coefficents and solve it using one of Matlab's functions. However, a 100x100 matrix means I would have to input 1,000 cells. The possibility of human error is quite high. Is there any function that allows me to translate my already made equations into a matrix of coefficents? 2) About 80 of the equations are 3 variable equations (i.e. x = 10y - 6z), isn't there anything in the symbolic toolbox that allows me to simply start solving them as a function of t without having to go through annoying matrix methods?

0 Comments

Matthew

Products

No products are associated with this question.

1 Answer

Answer by Walter Roberson on 27 Apr 2011

You can use sym2poly to extract expressions.

To solve as functions of t, use subs() to convert your plain x and y and so on in to x(t), y(t) and so on. Then use solve() or dsolve()

1 Comment

Matthew on 27 Apr 2011

While the sym2poly definitely can speed up the process, Matlab says that it can't have more than one input variable. Therefore, to use it I would have to rearrange all 100 equations so they only have 1 input variable. That's harder than just manually inputting all 10,000 coefficents.

The subs function seems promising, but its a bit more intensive. I'll comment when I figure out how to implement it best.

Walter Roberson

Contact us