Recent content by Martyn Arthur

Thank you for a brilliant answer to a dumb question for which I offer my apologies. Thanks Martyn

Phares as pragmatically as I can, thus leaving aside observational issues such as light speed, Universe expansion, moving apart galaxies and the Universe having no edge. Focusing on the fact that an observer on Earth looking deep into space can effectivly see the oldest stars formed during the...

Its just so frustratting and unneccsary. Just an ancilliary, mt lab partner (an English Teacher) and I did a 90 hour experiment following explicitly the instructions given. We downloaded the data and inspected the files without finding the required data My lab partner contacted his tutor, mine...

Would it be ok if I rework each of the sessions and check with you (with proper data) that I have an understanding? I don't want to knock the OU system, itsmy University, but in large part it relies on peer to peer analysis - v - actual consulation and checking witha tutor. Its ok but then...

Reviewing; I am wasting your time sorry. I have six weeks to get on top of this. I need to get back to basics and work through piece by piece. Maybe I can take a rain check with you at those stages please. Thanks

Thanks; I will check it and improve my handwriting; I have looked at latex but I am finding the course difficult and struggling to find time to learn something else just now. I did look at the video; he seems to be approaching the Jacobian maitrix differently from my tutor. My overall question...

Herem from the video I am unclear about the process, are the functions f and g being integrated to their original form and the differentiated to find the partial derivatives? Thanks Martyn

Thanks; hopefully this gets it and I can move to the Jacobian Maitrix?

Have I correctly calculated the elements that I need to use for the eigenvecor calculation as dx/dt =-y +1 the elements are -y as a constant and 1 with y differentiated. for dy/dt = x^2 - y^2 the elements are -2y with x ignored as a constant and 2x with -2y ignored as a constant. Thanks Martyn

I hope this is more properly laid out? We previously established that the stationery points were (1,1) and (-1,1) For this first stage I now need to create the elements of a Jacobian maitrix using partial differentation. I am confused by reference to the chain rule. Am I correct that for dx/dt...

Apologies, the question should have been accompanied by my workings I will try again shortle.

Following on am I correct in saying that for the Jacobian maitrix the partial derivatives of dee u / dee/x and dee u / dee y are -y and 1 respectively and the partial derivatives of dee v / dee/x and dee v / dee y are -2y and 2x respectively?

AH substituting 1 for y^2 and factorising gives me , for x +/-1 So thus, I believe we have (-1,1) and (1,1) Thank you, onwards to the Jacobian maitrix. Martyn

Thank you.... x^2 =1 so x =1 not +/-1 just 1 as per my calculator. I hate blaming ADHD, I rate quite high on chess.com its ridiculous but on occasions I get into this situation. We have an x value of 1 I need to fit it in here, but can't see how dx/dt =1-y (1)

For dx/dt = 0 (1) 1-y =0 , y= 1 substituting For dy/dt = 0 (1) for dy/dt x= sqrt 1 =1 so I have points (0,1) and (0,1) But this isn't correct! 'cant figure out where to go from here? Thanks Martyn