What is ds in ds2 = dx2 - cdt2 - Physics Forums
May 5, 2019 · So I'm just looking at: (assume, as they do, the motion is only in x) ds2 = dx2 - dt2 The German word for distance is Strecke. So German mathematicians will often use S or s for …
Question about second-order partial derivatives - Physics Forums
Aug 25, 2011 · Homework Statement If V=xf(u) and u=y/x, show that x^2.d2V/dx2 + 2xy.d2V/dxdy + y^2.d2V/dy2= 0 (This a partial differentiation problem so all the d's are curly d's) The Attempt …
Implicit differentiation find dy/dx and d2y/dx2 - Physics Forums
Oct 11, 2009 · 2xy=3x-y^2 find dy/dx and d2y/dx2 I just want to make sure my answer is right and simplified I got dy/dx= (3-2y)/ (2x+2y) Now d2y/dx2 took some...
Leibniz Notation Explained: dy/dx, d2y/dx2, d/dx - Physics Forums
Nov 11, 2013 · The discussion clarifies the meanings of Leibniz notation, specifically dy/dx, d2y/dx2, and d/dx. The term dy/dx represents the derivative of y with respect to x, while …
Why is the second derivative notation written as d^2y/dx^2?
May 4, 2009 · The notation for the second derivative, expressed as d^2y/dx^2, is a concise representation of the operation (d/dx)^2 (y). This format avoids potential confusion that could …
Solving Du/dt=A*d^2u/dx^2 w/ Boundary Conditions - Physics …
Jan 29, 2013 · The discussion centers on solving the partial differential equation du/dt = A*d^2u/dx^2 with specific boundary conditions: u=f (x) when t=0, u=0 when x=0, and u=V …
Heat equation - separation of variables • Physics Forums
Jul 24, 2010 · Homework Statement du/dt=d2u/dx2, u (0,t)=0, u (pi,t)=0 u (x,0) = sin^2 (x) 0
What can you say about the numbers a, b, c and d? - Physics Forums
Sep 6, 2008 · The discussion focuses on the conditions under which the system of equations defined by constants a, b, c, and d remains consistent for all values of f and g. The equations …
Parametric equation confusion of d2y/dx2 • Physics Forums
Apr 1, 2012 · x=t2 and y=t3-3t, find dy/dx and d2y/dx2 I understand how to get to dy/dx but an confused on how to get to d2y/dx2 can someone please explain in depth, I...
How to Add Metres & Seconds for Equal ds2: Einstein's Theory
May 4, 2023 · Reading this PDF from Professor Richard Conn Henry, I am confused by the multiplication by c on page 2. Einstein's claim is that dx2 + dy2 + dz2 − dt2 = ds2 = dx′ 2 + dy′ …