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  1. Deflection of tapered beam cantilever • Physics Forums

    Nov 9, 2009 · Therfore E*d2y/dx2 = -M/Ix, and integrate this equation twice. you will need to do this carefully and in the end you will get a big,scary expression of deflection. You can definitely …

  2. 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 …

  3. Leibniz Notation Explained: dy/dx, d2y/dx2, d/dx - Physics Forums

    Nov 11, 2013 · I never really understood leibniz notation. I know that dy/dx means differential of y with respect to x, but what do the 'd's mean? How come the second-order differential is …

  4. Why is the second derivative notation written as d^2y/dx^2?

    May 4, 2009 · The notation for the second derivative, d²y/dx², is a shorthand that simplifies the expression of repeated differentiation. It avoids potential confusion that could arise from writing …

  5. Solving Du/dt=A*d^2u/dx^2 w/ Boundary Conditions - Physics …

    Jan 29, 2013 · du/dt = A*d^2u/dx^2 Where u=u(x,t) and A is a constant. The boundary conditions are: u=f(x) when t=0 u=0 when x=0, independent of t u=V when x=L, independent of t, where …

  6. Implicit differentiation find dy/dx and d2y/dx2 - Physics Forums

    Oct 11, 2009 · Your dy/dx is correct. I didn't work out the second derivative, but as long as you took the derivative of dy/dx using the quotient rule and implicit differentiation, replacing dy/dx …

  7. Is (d^2/dx^2) a Hermitian Operator? - Physics Forums

    Oct 15, 2006 · The discussion centers on whether the second derivative operator, d²/dx², is Hermitian in quantum mechanics. A Hermitian operator must satisfy the condition involving …

  8. Line element in Euclidean Space - Physics Forums

    Jun 27, 2015 · The line element is defined as How is dx2+dy2+dz2 be written as gijdqidqj. Is some sort of notation used??

  9. Second derivative=0; stable/unstable equilibrium? - Physics Forums

    Oct 4, 2009 · Homework Statement Describe how to determine whether an equilibrium is stable or unstable when [d2U/dx2]_0 = 0 From Classical Dynamics - Ch 2 #45 - Marion Thornton 2. …

  10. What can you say about the numbers a, b, c and d? - Physics Forums

    Sep 6, 2008 · Suppose a, b, c and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a, b, c and …