How to Solve Simultaneous Equations for Variable Ranges in Mathematica?

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SUMMARY

The discussion focuses on solving simultaneous equations in Mathematica, specifically using the NDSolve and Solve functions. Key issues identified include the use of non-standard variable names with subscripts and multiplication signs, which complicate the coding process. The recommended approach is to utilize the Block function for variable assignment and to ensure proper syntax, such as using commas and brackets correctly. For inputting multiple values for variables, users are advised to implement a For loop or the Table command to facilitate batch processing of solutions.

PREREQUISITES
  • Familiarity with Mathematica syntax and functions
  • Understanding of simultaneous equations and their solutions
  • Knowledge of variable scoping using Block in Mathematica
  • Experience with loops and list processing in programming
NEXT STEPS
  • Learn how to use the Block function in Mathematica for variable assignments
  • Study the differences between Solve and NSolve in Mathematica
  • Explore the Table command for generating lists of values in Mathematica
  • Investigate the use of loops in Mathematica for iterative calculations
USEFUL FOR

This discussion is beneficial for engineering students, Mathematica users, and anyone involved in mathematical modeling or computational problem-solving who seeks to understand how to effectively solve simultaneous equations within the software.

windfloyd
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I just start to learn Mathematica to solve some engineering problem, and got stuck when I was trying to solve a set of equations. Pls see the attachment for the nb. file.
 

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Welcome to PF!

I suggest you copy and paste the part(!) of the code you suppose you're having trouble with getting right and explain what you want to do.

If possible it would also be a good idea to state your problem as general as possible (nobody but you cares about some points specific to your particular problem which actually are not part of the question.)

Anyways, I haven't looked at the file yet (no mathematica here), maybe everything's fine.:smile:
 
The main problem is the names of the variables are too fancy, with subscripts and multiplication sign in the superscripts. Make sure your identifiers are symbols.

I see your programming in a C style, try putting your code in a Block:

Block[{a = 1, B = 2}, NDSolve ... ]
 
Crosson said:
The main problem is the names of the variables are too fancy, with subscripts and multiplication sign in the superscripts. Make sure your identifiers are symbols.

I see your programming in a C style, try putting your code in a Block:

Block[{a = 1, B = 2}, NDSolve ... ]

I have simplified the variables, but still got no answer. See new attached.
 

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Use Solve instead of NSolve for functions that aren't polynomials. There should be a comma at the end of the first line, and if you do get it running, it may take awhile to run.
 
I got it working. The major problem was that you used square brackets [ ] for grouping, when this is mathematica's notation for a function f[x].
 

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Thank you so much guys! It works now! But I still have a "silly" question: I'm supposed to get different results based on different input values for variables in the "Block" part, but I don't know how to input a list of values to let the software calculate at the same time instead of one by one? Can you please tell how to do that? In what form should I input the values of the variables?
 
You could use a For loop. Or if you have a predetermined list of values you could use a Table command. Look these up in the documentation center.
 
Crosson said:
You could use a For loop. Or if you have a predetermined list of values you could use a Table command. Look these up in the documentation center.

Thanks! I have looked up the information about how to input a list of values, but that doesn't apply here in my solving-equations problem. I want to get solutions of the simultaneous equations for different values of a variable in the equations. In the new attachment, i want to change t from 50 to 1000, ang get answers for the five unknowns.
 

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