The equation models the chain rule for the second derivative, in which case A 1 g = g ′ 2 and A 2 f = f ′. We show under mild non-degeneracy conditions – which imply that A 1 and A 2 are very different from T – that A 1 and A 2 must be of the very restricted form ...
equation of the first (或 second 等) order (Mathematics)an equation involving only the first derivative, second derivative, etc. (数)一次(或二次等)方程 同义词 comparison 行业词典 医学 方程式,等式,反应式:以等号连接的两部分 数学 方程
The equation models the chain rule for the second derivative, in which case A1g=g′2 and A2f=f′. We show under mild non-degeneracy conditions – which imply that A1 and A2 are very different from T – that A1 and A2 must be of the very restricted form A1f=f′A2f, A2f=|f′|...
ad1r • d1r; dot product of d1r and d1r, F=d1r • d1rv; dot[translate] aderivative of the surface equation with respect to u, d1ruv is[translate] aequation with respect to v, d2rv is the second derivative of the[translate]...
For example, let's find the second derivative of the function \( f(x) = x^3 \): 1. **First derivative**: \( f'(x) = 3x^2 \) 2. **Second derivative**: \( f''(x) = \frac{d}{dx}(3x^2) = 6x \) The second derivative of \( f(x) = x^3 \) is \( f''(x)...
Find F'(x), if F(x) = \sqrt{ x^2-1} Find \frac{dy}{dx}, for y = (x^2 + 1)^3 Second derivative of F(x) = x+ \frac{32}{x^2} Find \frac{dy}{dx}, y = sin^2 (X^3) First derivative of y = cos^4(1- 2x) find the second deriva...
Note: This discussion is about an older version of the COMSOL Multiphysics® Hi! I'm sorry for my bad English. I'm trying to solve the following equation. (d^2 x)/(d t^2) + (a + b * cos(θ) )*x = 0 (d^2 x)/(d t^2) = second order time-derivative term ...
The reformulation of the boundary problem in terms of Volterra integral equations enables the construction of two distinct numerical methods for its solution,... M Stynes,N Kopteva - 《Advances in Computational Mathematics》 被引量: 9发表: 2016年 Application of A Second Derivative Multi-Step Metho...
1)second order differential equation二阶微分方程 1.The existence of positive homoclinic orbits is obtained by the variational approach for a class of thesecond order differential equations-α(x)u+β(x)u2+γ(x)u3=0,where the coefficient functions α(x),β(x),γ(x) satisfy xα′(x)≥0,...
(38), we obtain the equation for a plane wave, which describes the particle: \(\varvec{\phi }^{(r)}(x) = e^{-\frac{i \epsilon _r}{\hbar } p \cdot x} {\mathbb {I}}^{(r)}_4, r=1,2,3,4\). We can calculate the derivative \(\partial _\mu \varvec{\phi }^{(r...