微分方程 [数] differential equation ; DDES ; DIDEs ; odes
常微分方程 ODE ; differential equation ; Diffrerntial Equations
偏微分方程 [数] partial differential equation ; PDE
随机微分方程 [数] stochastic differential equation ; BDSDE ; [数] random differential equation ; Introduction to stochastic differential equations
全微分方程 exact differential equation ; [数] total differential equation
时滞微分方程 ADDE ; Retarded differential equation
积分微分方程 [数] integro-differential equation ; Differential equation
伯努利微分方程 [数] Bernoulli differential equation
椭圆型偏微分方程 [数] elliptic partial differential equation ; partial differential equation of elliptic type
线性代数微分方程 Linear Algebra & Differential Equation ; Differential Equation ; LinearAlgebra& differential equation
因此可以马上写下,这个微分方程的,解法。
So you can write down immediately the solution to this differential equation.
你们有些人也许已经,解出了微分方程。
好的我们可以看这儿,看这个微分方程,这里没有做近似。
Well we can go look up here, looking at the differential, there are no approximations here.
So, all you will have the opportunity to solve differential equations in your math courses here. We won't do it in this chemistry course. In later chemistry courses, you'll also get to solve differential equations.
你们在数学课中有机会,遇到解微分方程,我们在这化学课里就不解了,在今后的化学课程里,你们也会遇到解微分方程的时候。
This is going to be probably a homework at some point to do this. For now, let's take it for granted. Let's take it for granted that we know how to calculate this derivative from an equation of state like this.
这可能是将来的一个课后作业,现在,请把这当成理所当然的,理所当然地认为我们,知道怎样从一个状态,方程计算这样的微分式。
So here I've written for the hydrogen atom that deceptively simple form of the Schrodinger equation, where we don't actually write out the Hamiltonian operator, but you remember that's a series of second derivatives, so we have a differential equation that were actually dealing with.
这里我写出了,氢原子薛定谔方程的,最简单形式,这里我们实际上,没有写出哈密顿算符,但是请记住那你有,一系列的二次导数,所有我们实际上会处理一个微分方程。
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