Undergrad Solving a system of differential equations by elimination

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SUMMARY

The discussion revolves around the method of solving a system of differential equations by elimination. The original poster seeks validation of their approach after receiving feedback from their instructor, who is unfamiliar with the method. Participants emphasize the importance of verifying that the derived functions x(t) and y(t) satisfy the original differential equations. Additionally, the need for clearer presentation of the work is highlighted, as the original submission was difficult to read due to formatting issues.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with the elimination method for solving systems
  • Ability to verify solutions against original equations
  • Basic skills in presenting mathematical work clearly
NEXT STEPS
  • Research the elimination method for solving systems of differential equations
  • Learn how to verify solutions of differential equations
  • Explore best practices for presenting mathematical work clearly
  • Study common methods for solving differential equations, such as substitution and matrix methods
USEFUL FOR

Students studying differential equations, educators teaching mathematical methods, and anyone looking to improve their problem-solving techniques in mathematics.

polibuda
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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?
 

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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.
 

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