Book recommendation for ordinary differential equations
WEB$\begingroup$ And here is one more example, which comes to mind: a book for famous Russian mathematician: Ordinary Differential Equations, which does not cover that much, but what is covered, is covered with absolute rigor and detail.
Linear vs nonlinear differential equation - Mathematics Stack …
WEB$\begingroup$ If the ODE has the unknown function and/or its derivative(s) as an argument of a trigonometric, hyperbolic trigonometric, exponential, logarithmic, and/or n-th root function, the ODE is non-linear.
Non-ordinary differential equation? - Mathematics Stack Exchange
WEBThere's the Differential-difference equation, which is a blending of differential and difference equations, such as $$ \frac{d}{dx}f(x)=f(x-1) $$ So an ordinary differential equation is a differential equation that doesn't have anything "special" about it, it's just a differential equation. It is, quite literally, ordinary.
ordinary differential equations - difference between implicit and ...
WEBOct 29, 2011 · We aren't always this lucky when we solve differential equations that show up in practice. It often happens that we can only be content with an implicit solution (or a parametric solution, which is a somewhat better state of …
Identifying Independent And Dependent Variables In Differential …
WEBordinary-differential-equations; soft-question; Share. Cite. Follow edited Jan 6, 2012 at 16: 31. alok ...
analysis - How to tell if a differential equation is homogeneous, or ...
WEBJan 27, 2015 · The simplest test of homogeneity, and definition at the same time, not only for differential equations, is the following: An equation is homogeneous if whenever $\varphi$ is a solution and $\lambda$ scalar, then $\lambda\varphi$ is a solution as well.
Best Book For Differential Equations? - Mathematics Stack Exchange
WEB$\begingroup$ Try Ordinary Differential Equations by Barreira and Valls; need to probably be $2^{nd}$ to $3^{rd}$ year in a mathematics program though. Teaches the theory; solving equations is not something taught in of itself? Largely acquired as tools - …
What makes a differential equation, linear or non-linear?
WEBJul 26, 2015 · Linear differential equations: They do not contain any powers of the unknown function or its derivatives (apart from 1).
Difference between ordinary and partial differential equations
WEBOct 9, 2018 · An ordinary differential equation involves a derivative over a single variable, usually in an univariate context, whereas a partial differential equation involves several (partial) derivatives over several variables, in a multivariate context.
Things I must know before taking differential equations course
WEB$\begingroup$ I would also recommend Schaum's book for calculus, and Ordinary Differential Equations by Pollard and Tenenbaum for DEs. $\endgroup$ – Chris Taylor Commented May 25, 2011 at 7:49