Feb 8, 2014 · Explore related questions ordinary-differential-equations See similar questions with these tags.

Mar 6, 2018 · A small concept: A Linear First Order Differential Equation is of the form: dy dx + P(x)y = Q(x) d y d x + P (x) y = Q (x) Where P(x) P (x) and Q(x) Q (x) are only functions of the independent …

Apr 20, 2015 · Explore related questions ordinary-differential-equations derivatives See similar questions with these tags.

Feb 15, 2020 · Usually finding an integrating factor to make an ODE exact is a hard task. There are the usual two cases of course, but after that, it's really educated guessing. The exercises I've seen for …

Aug 29, 2019 · 3 Problem 1.7 in G.Teschl ODE and Dynamical Systems asks me to transform the following differential equation into autonomous first-order system: $\ddot x = t\sin (\dot x) +x$ …

May 9, 2020 · The reason why the arbitrary constant vanishes is because it represents a singular solution of the differential equation. The singular solution is basically like an envelope of all the …

Jan 28, 2023 · 2 Here is a solution which relies on trial and error, looking for substitutions which appear likely to simplify the equation. First, to get rid of the y2, substitute u = y2 , du dx = 2ydy dx and do the …

Nov 9, 2013 · This doesn't mean that there isn't a unique solution to the differential equation, just that the existence-uniqueness theorem for first-order linear differential equations won't provide the answer.

Apr 26, 2019 · (See " Ordinary Differential Equations " by Vladimir I. Arnol'd) If you integrate the given differential equation for the first time you got the first integral . If you again integrate the first integral …

Sep 5, 2017 · 2nd order differential equation to first order Ask Question Asked 8 years, 5 months ago Modified 8 years, 5 months ago