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what about 'Numerical solution of ordinary differential equations: Euler and Runge Kutta-methods' part of the syllabus?

Didn't get

27:20 why were the lines of action of mg and oa not intersecting sir? As far as I can imagine, O,A and C will be coplanar thus the lines must intersect? Can you please explain this. Thanks in advance

Maja aagya sir, aapne jab Beta function and reflection use krke Pura solve krke dikhaya alternative option. Thank you Sir for being so observant

24:44 this is equation of cylinder right? the other surface will be z=constant. so together it will represent a cricle

@Mathocrat Sir @25:00, for outflow we take positive flux and for inflow we take negative flux, right? And it should be outflow at face 1 and inflow at face 2?

Sir Krishna series use krkste h ky??

Dear sir, entire upsc optional portion for fluid dynamics has been covered in these 47 videos sir??

Aapke lectures real ke liye enough h ?

in the first case why we have not considered r = R+h1 like in the 2nd case

24:15 pr simplified expression f=x is wrong correct expression is f = z(x+y)+xy we can get using kmap even for f=x you can check with input x for output f should be equal but as per table input output f=x not satisfied for x=1 the f=0

Sir, how did we get dxdydz = (rd§)(rsin§d@)(dr). ?

Thank you so much sir... and salute to your efforts 🙏🙏😊😊

Thankyou so kuch sir

Sir in the last question, it is two equal and opposite rectilinear vortices not parallel... Thank you for all the lectures sir....

28:35 sir if we consider reference point at point of contact then potential energy will be with positive sign,as distance is above reference point??

Sir 6:50 f(n)=1-1/n is decreasing function not increasing?

Sir bsc plus upsc foundation batch for maths sir how much cost and when sir?

Sir do u remember me i love u

order 3 degree 02 sirrr

13:32 how did we know to stop applying the commutative condition and knew that we got the answer , is there any general rule in bigger problems

Sir why (form 3 )is being introduced or (form 1 or 2) as they are same .so which method to use in exam. ie easier ?

Sir while solving question why did not you check exactness directly jumped to homogeneous.

Sir, @Mathocrat shouldn’t we add the moment due to pseudo force ( centrifugal acceleration ) to the equation while calculating moment at 25:02 ? This is because the point we are using for calculation is under acceleration?

Where did the p go in second question

Sirf I want to purchase batch ....I have queries related to batch but your phone number mentioned on website is not answering

Sir , isn't hemisphere com at 3r/8 then why we took r/2 in last two questions ?

Thank you so much sir😊😊

Thank you sir 😊

If factor group of G is abelian then it's not necessary that G is also Abelian. Solution: let G|H is a factor group of G. Hx, Hy ∈ G|H then HxHy=HyHx Hxy=Hyx h₁xy=h₂yx (for some h₁, h₂ ∈ H) Therefore xy=yx only if h₁=h₂. Hence G is not necessarily abelian. @Mathocrat Let me know if my answer and solution is correct.

24:10 👏🏻👏🏻👏🏻👏🏻

Thank you sir 😊

Hi All how at 8:09 this limit is taken inside the integral is it using uniform convergence?

Sir, at 5:02 why is the complex potential (w) due to sink (at origin) is not considered while writing w?

Just one question. If a question asks to show that the limit of the sequence is a particular value, do we still have to ahow that it is monotonic and bounded? Or we can directly calculate the limit. (Like q6,q7, q8) in this vid

whenever I'm having doubts regarding whatever topics, I'm glad i can refer to your lectures. The always prove super helpful for all the topics available here. Thank you so much sir ji🙏🙏💙 >"Its Utkarsh Sharma here"

7:39 Sir, How did you take the direction of pressure at surface 2??

Thank you sir

sir in ques 1, when we are exchanging summation and integration, don't we need to show in answers that each term is also integrable??

Thank you so much sir.. You are explaining this whole topic as simple.. Thank you… one doubt sir, whether this all 59 videos covered both calculus and Real analysis sir?

Thank you so much sir 😊😊

34:40 Sir, while calculating D,E and F using parallel axis theorem d1,d2 and d3 are distances of the coordinate axes passing through center of mass from the original coordinate system. But here You have taken the coordinates of center of mass. Am I correct or am I missing something?

Sir have also covered inverse laplace transformation?

Sir, You use Expansion of cosx wrong

Thankyou so much sir for this course ❤ Never studied like this you explained everything ❤❤❤

Sir how do we know that the length of the diagonal of a rhombus is 1/2 L ?

thank for good guidance

Partial differential equation?????