I get
.
Hi all,
I am in the process of working out a solution to a 2nd order PDE.
However I am stuck on calculating given that
and and
I can calculate uxx which is
and uy,uxx and uyy etc however I get stuck on uxy. I just cant get the answer in the book which leads me to belive my uxy is wrong. Can anyone give me a start on this uxy derivation like above for uxx?
Thanks
hmmmm, can you explain how you got this? Is it a chain rule within a product rule? I started my calculation to be
then my next step goes to pieces..
The final answer in the book is given as uxy =
it doesnt show the general form of uxy before the above line. The calculation of this seems to be different to that of uxx, uyy etc.
Any help is appreciated
Thanks
So i get
I can finally get the answer in the book. However, I just have 2 small queries:
1) How did you anticipate
Is it a setup for the chain rule?
2) As part of the above calculations we had and
I am not 100% clear why this is differentiated as a product rule because I understand the product rule to be of the form y=uv where u and v are both functions of x.
Yet in the above equation I dont see how the product should be used because the denominator is not a function of x but only and .....and even the denominator is not a function of x for the matter I dont think.....?
Im learning slowly but surely!
bugatti