Jan 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 …

The differential equations class I took as a youth was disappointing, because it seemed like little more than a bag of tricks that would work for a few equations, leaving the vast majority of interesting …

May 25, 2015 · Partial differential equations play a very important role in physics, and many problems in modeling of physical systems amounts to correctly figuring out how to set up a system of partial …

Jun 8, 2013 · 2 One could define a linear differential equation as one in which linear combinations of its solutions are also solutions.

8 I've seen questions on what are some good differential equations textbook and people generally points to Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard and so on I was …

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Sep 10, 2017 · 1 While introducing myself to differential equations, I read that the solution to a differential equation may contain an arbitrary constant without being a general solution. I have been …

May 15, 2012 · Does there exist any correspondence between difference equations and differential equations? In particular, can one cast some classes of ODEs into difference equations or vice versa?

Nov 19, 2014 · Explore related questions ordinary-differential-equations reference-request book-recommendation See similar questions with these tags.

For any linear ordinary differential equation, the general solution (for all t for the original equation) can be represented as the sum of the complementary solution and the particular solution.