The problem seems to have been solved in the discussion in the comments: The "function vectors" are vectors containing the (zeroth and first) derivatives of a function, and thus the …

Apr 22, 2015 · The general solution for second order linear differential equations (Green's Function, which is the general form solution of the variation of parameters) involves the …

Oct 28, 2022 · To my understanding, we check the Wronskian to confirm whether we can span the entire solution space of the differential equation with just those two solutions. This is …

Jan 24, 2017 · 13 What is the intuition behind the Wronskian? I do not want an explanation that involves a rigorous proof. I just want to learn how to intuitively think about it. Edit: And since it …

Dec 23, 2014 · Thank you for this useful answer. To be clear, we have in general that the vanishing of the Wronskian is a necessary but not sufficient condition for the linear …

May 1, 2020 · Find the Wronskian of the solutions of Legendre Differential Equation . Ask Question Asked 5 years, 6 months ago Modified 5 years, 6 months ago

Let $\alpha$ be a non-negative real constant. The differential equation $$ x^2y^ {\prime\prime} +xy^\prime+ (x^2-\alpha ^2)y=0 $$ has solutions called Bessel functions. Without solving the …

Let us given a second order homogenous linear differential equation and I'm given an initial value problem. Suppose I found two solutions satisfying this differential equation and the initial value...

Dec 30, 2019 · How to solve 3rd order Ordinary Differential Equation by using Wronskian? Ask Question Asked 5 years, 10 months ago Modified 5 years, 10 months ago

Jul 20, 2017 · Second order nonhomogeneous problem with wronskian Ask Question Asked 8 years, 3 months ago Modified 8 years, 3 months ago