Homogenous Function | Euler's Theorem | 2 variables | MAKAUT PYQ | Function of Several Variable

[@sushmitasaha-v1j]

best channel for makaut syllabus

[@TendingtoInfinity]

thank you!

[@akashgamer248]

31:46 qs2 and qs3 rhs both are 1/2 sin2u

[@TendingtoInfinity]

Right.

[@Unknown-m5n7t]

tanu=(x^3+y^3)/(x-y) try this . This gives you the answer as sin2u

[@who16480]

At 31:45 the RHS of 3 no. question(H.W.) should be 1/2sin 2u, I think there is a printing mistake😅

[@TendingtoInfinity]

Yes.. I have said that in the solution also

[@swapankumarhalder8973]

can't thank you enough sir❤

[@TendingtoInfinity]

You're most welcome 🤗

[@vee.1425]

31:45 can't verify. it's coming 1/2 sin2u

[@TendingtoInfinity]

Yes. They have made mistake in the question itself . 1/2 should be there.

[@debangshutripathi5342]

answer verified !!

[@nabankur265]

Sir at 31:45 the LHS of 3 no. question(H.W) should be u=tan^-1(x^3+y^3)/(x-y), then only the RHS will be correct

[@TendingtoInfinity]

I see..

[@ayeshajamil9054]

39:48 sir this prove part can be also done eulers 2nd order formula ?? Or 51:56 sum 7by that previous method??

[@palashnandi4585]

1:03:30 answer verified...

[@TendingtoInfinity]

great!

[@ubaidafaque1888]

Degree kitna aayeaga

[@susonly2004]

please make a video on total differentiation and implicit function:))))

[@TendingtoInfinity]

Total differentiation and implicit function makaut er jonno otota important na. But tobuo chesta korbo.

[@faangm]

Awesome keep it up ❤❤

[@TendingtoInfinity]

Thank you, I will 😊

[@shaan8101]

Sir when u decided to partially differentiate the eulers equation wrt 'x' at 41:22 then the other variables must be treated as constant na ....? But u differentiated all of the please kindly explain sir ...🙏

[@TendingtoInfinity]

I think you're talking about "u" and del u / del x or del u / del y ... See, x and y are independent variables So when we are differentiating partially any term of y with respect to x then it will be treated as a constant. And vice versa. But u or del u / del x and del u / del y all these are dependent variable and dependent upon both x and y , so you have to differentiate them as well while differentiating w.r.t x or y and have to use the concept of chain rule.

[@shaan8101]

@TendingtoInfinity thank a lot sir

[@risavsen1529]

del^2u/delx dely and del^2u/dely delx - are they equal, as shown above ?

[@TendingtoInfinity]

Generally equal e dhora hoy. Actually Schwartz theorem bole ekta result ache, jeta etake justify kore.

[@ritikeshdeb1153]

Sir is this in Math 1B SYLLABUS?

[@TendingtoInfinity]

Yes. It is definitely there in the syllabus

[@a_roxtech723]

39:57 SIR HOW DID U PUT SIN2U THERE PLEASE TELL PLEASE

[@TendingtoInfinity]

From the proof of the last question..

[@raunakjoardar4858]

Euler's second hw question will be x cube + y cube then we can prove sin 2 u else we will have same result

[@TendingtoInfinity]

Yes.

[@SoothingWaves4226]

H.W done sir 👍👍

[@TendingtoInfinity]

Great.

[@PrinceBharti]

both answer of eulers theorem is same

[@DeeptiKumari-bd2gw]

I guess it is not in the 3rdsem syllabus of maths

[@TendingtoInfinity]

Yes it is there in the syllabus. Not written properly in the syllabus. You can see very recent year questions in this lecture only.

[@KAFU69]

It is

[@blackbodyrad]

sir plz share pdf

[@TendingtoInfinity]

I will provide this pdf in the telegram channel.

[@BabluGupta-yz3hp]

Can anyone comment solutions of last question in comment

[@TendingtoInfinity]

I will try to solve the question in the practice set.

[@BabluGupta-yz3hp]

@@TendingtoInfinity when