Form PDE from Φ(x+y+z, x²+y²-z²)= 0 | Formation of P.D.E. by eliminating arbitrary functions

[@bethelakida]

Thanks so much for your understandable explanations 🙏🙏🙏

[@PAVANKUMAR-w6p4n]

obtain Partial Differential equation by eliminating arbitrary constants f(x+yz, x^2+y^2-z^2)=0
2z = x^2/a^2 + y^2/b^2

[@francisnjuguna6641]

You just saved my semester

[@rkchy]

You are from which place?

[@glimpseartsy]

I'm student of msc 2nd sem and your videos are helping me alot with the concepts understanding. Thankyou sir for your valuable time and easy explanations 🙏🏻

[@rkchy]

Great please mention the subject names of your current sem

[@glimpseartsy]

@@rkchy my 2 sem will end this may but the subject are electronics, mathematical physics 2 , solid state and statistical physics

[@rkchy]

🙏

[@Raushan_Kumar185]

Very nice explaination👍🏻

[@rkchy]

Thanks sir 😁

[@shproperty1050]

when we take derivative w.r.t x and consider y as contant then why not z is constant

[@rkchy]

check at 7:00

[@srk_khaan]

Thanks 🙏

[@Harsh-d8m5t]

thanks man

[@mukeshpatidar7861]

Sir nice explanation but camera kuch jyada move ho Raha tha

[@rkchy]

wo saal dushra tha

[@PrinceKumar-ll9zo]

If u=f(x²+y²+z²,z² -2xy) solve the question please

[@nozrulislam6857]

Thanks a lot!

[@rkchy]

You're welcome!

[@CheerfulCoffee-ld1ec]

Bro put the camera in one place don't move the camera

[@lisa_mo6208]

please recommend me a book on differential equations

[@rkchy]

You can refer to my playlist on Partial Differential Equations
th-cam.com/play/PLOxDDktsWz_lBsFdycJzyuqH9SRGaQhO6.html
Books:
M.D. Raisinghania
or H.K. Das as far as Indian Authors are concerned.
I also have a playlist on Ordinary Differential Equations

[@lisa_mo6208]

thank you

[@rkchy]

Do subscribe

[@Magic73805]

Sir, do we need to go for partially differentiation w.r.t. z also?

[@rkchy]

Yes because u and v both are functions of x,y,z in this question.
So, u will be dependent variables depending on x,y, and z. So differentiate partially w.r.t all independent variables

[@Artist_DanuSkalyanshetti]

Sir y u not taken w r to z derivatives

[@yadveer288]

Curl u/curl x=1+p nhi ayega?

[@rkchy]

no

[@Mathswithali513]

why not dz/dx=0

[@rkchy]

At what time?

[@darshanagowala4274]

Bcz only y should be treated as constant during partial differentiation w.r.to x not z

[@sanatanadharma1548]

You should differentiate z wrt x amd y

[@rkchy]

I have done it

[@sanatanadharma1548]

Here you can't take z as constant

[@utsavshrivas1310]

Bro camera bahut jayada hila rhe ho

[@rkchy]

Wo bhi ek jamana tha