Linear vs nonlinear differential equation - Mathematics Stack …
A differential equation is linear if and only if it is in the following form or is mathematically equivalent to said form: a(x)*y + b(x)*y' + c(x)*y'' + ... = q(x) (Right side is just a loose function …
calculus - What is the practical difference between a differential …
See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual …
partial differential equations - Mathematics Stack Exchange
2020年4月30日 · with $\boldsymbol{\kappa}=i\mathbf{k}.$ This multiplication by $\mathcal L$ is the Fourier-space version of the differential operator from $(1)$. Notice that $\mathcal L$ is …
ordinary differential equations - difference between implicit and ...
What is the difference between an implicit ordinary differential equation and a differential algebraic equation? 1 Explicit formula for the implicit Euler method
recurrence relations - Links between difference and differential ...
2012年5月15日 · Morally, a difference equation is a discrete version of a differential equation and a differential equation is a continuous version of a difference equation. The method of …
ordinary differential equations - What exactly is steady-state …
2023年1月16日 · A steady state solution is a solution for a differential equation where the value of the solution function either approaches zero or is bounded as t approaches infinity. It sort of …
Is there a reason it is so rare we can solve differential equations?
2020年8月6日 · The differential equation is one clue we have to what it might be (in some situations it is our only clue). It is only because we have the same desire so often, to find the …
ordinary differential equations - Solving $y'' - y = 0
Differential equation, a square root and substitution. 10. Special conformal killing fields - solving for ...
analysis - How to tell if a differential equation is homogeneous, or ...
2015年1月27日 · If the constant gets cancelled throughout and we obtain the same equation again then that particular differential equation is homogeneous and the the power of constant …
How to derive a differential equation of an ellipse
Since there are two arbitrary constants, you need to differentiate 2 times (the order of the differential equation should be 2). The answer you want is just the negative of slope of normal …