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 …

2011年10月29日 · What is the difference between an implicit ordinary differential equation and a differential algebraic equation? 1 Explicit formula for the implicit Euler method

I intend to take this course named "Differential Equations" and per the department followings contents will be taught * First Order Differential Equations * Second Order Linear Equations * …

2021年8月2日 · Perhaps it is useful to note that the second equation you had used in the first part of your solution is not a physical law, but a mathematical truth, as; $$\frac {d^2r}{dt^2}=\frac …

$\begingroup$ Have her give them an example of a differential equation that is nonlinear, so they can appreciate why it is far harder to create new solutions from old solutions in the nonlinear …

You can define a differential $\text{d}y$ as the linear part of a variation $\Delta y = f(x+\Delta x)-f(x)$, or as an abstract mathematical object known as a differential form. Either way, you …

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

$\begingroup$ Wolfram says that solution for differential equation is "ugly", like integral, so all the best :) $\endgroup$ – Cortizol Commented Mar 14, 2013 at 21:07

2016年4月1日 · Because of that, your differential equation is correct. The rate of flow of salt into the tank is $2 \frac{\text{lb}}{\text{gal}}\cdot 3\frac{ \text{gal}}{ …

Since it is rare – to put it gently – to find a differential equation of this kind ever occurring in engineering practice, the exercises provided along with these topics are of limited scope…”. …