ordinary differential equations - What is the purpose of Wronskian ...
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 …
Linear independence of function vectors and Wronskians
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 …
What is the intuitive meaning of the Wronskian?
May 23, 2019 · 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 …
ordinary differential equations - The role of the Wronskian ...
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 …
If the Wronskian is zero at some point, does this imply linear ...
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 …
Is the Wronskian determinant positive or negative?
May 14, 2015 · The wronskian is a function, not a number, so you don't can't say it's lower or higher than $0 (x)$. You may get either $ g (x) $ or $-g (x)$ depending on row placement but it …
ordinary differential equations - Wronskian & Linear …
Jan 24, 2024 · We usually study wronskian concerned with solutions of ODE, but using this idea to check linear dependence of any two differentiable functions seems Okay because it is the …
ordinary differential equations - The Wronskian and the term ...
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...
ordinary differential equations - Wronskian of $x^3$ and $x^2 |x ...
The point (which will probably be made later) is that solutions of homogeneous second-order linear differential equations are rather special: if they are linearly dependent in some interval, …
Finding one solution of second order DE using another solution …
Nov 19, 2020 · Finding one solution of second order DE using another solution using Wronskian Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago