Solving a system of differential equations by elimination

Click For Summary

Discussion Overview

The discussion revolves around the method of solving a system of differential equations by elimination. Participants are examining the correctness of this method as applied to a specific sample task, with a focus on verification and the appropriateness of the thread's placement within the forum.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant seeks verification of their method for solving differential equations by elimination, expressing uncertainty about its correctness.
  • Another participant questions whether the thread should be categorized under homework, suggesting it may not belong in the current section of the forum.
  • A participant mentions that their instructor is unfamiliar with the elimination method and requires proof of its correctness before use.
  • There is a suggestion that the problem statement should be clearly typed out for better understanding.
  • One participant advises that the original differential equations should be satisfied by the solutions found, implying a self-checking approach.
  • Concerns are raised about the clarity of the work presented, particularly regarding the format of sharing the sample task.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the appropriateness of the thread's placement or the clarity of the presented work. There are differing opinions on the method's validity and the need for clearer communication of the problem statement.

Contextual Notes

Limitations include the lack of a clear problem statement and the potential difficulty in reading the shared work due to formatting issues. There is also an unresolved question regarding the instructor's unfamiliarity with the method.

polibuda
Messages
51
Reaction score
9
TL;DR
Checking solution
I would to know if I'm solving system differential equation by elimination correctly. Could somebody check my sample task and tell if something is wrong?
 

Attachments

  • task.png
    task.png
    17.5 KB · Views: 295
Physics news on Phys.org
Well, I don't see any problem in my thread. I want to ask if this method is correct. I found a movie with way how to solve system differential equtions by elimination, but I can't verify it is ok. The film:

I sent it to my instructor and he said he don't know this method, and when I want to use from it I need to prove, that the method is correct.
 
polibuda said:
Well, I don't see any problem in my thread.
Neither do I. The least you can do is type out the problem statement for this thread
 
polibuda said:
Could somebody check my sample task and tell if something is wrong?
You can check your work yourself by verifying that what you found for x(t) and y(t) satisfy the original differential equations.

As @BvU already hinted at, this should have been posted in one of the Homework sections. Also, squeezing 2 1/2 pages of work into a single image makes your work difficult to read.
 

Similar threads

Undergrad Why Lagrange’s method of solving Pp + Qq=R works?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Integrability of Systems of Differential Equations
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Problem with checking solution by wolframalpha
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?
  • · Replies 2 ·
Replies
2
Views
3K
Insights Differential Equation Systems and Nature
  • · Replies 14 ·
Replies
14
Views
6K
Solving system of differential equations using elimination method
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Solving Differential Equation Using Reduction of Order
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad What are the applications of function-valued matrices?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate A system of partial differential equations with complex vari
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Is a solution of a differential equation a function of its parameters?
  • · Replies 3 ·
Replies
3
Views
2K