Solving a system of differential equations by elimination

[polibuda]

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?

 

[BvU]

Homework ? Read PF guidelines !

 

[polibuda]

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.

 

[BvU]

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

 

[Mark44]

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.