What is the intuitive meaning of the Wronskian?
2019年5月23日 · Liouville's formula says that the evolution of the Wronskian is governed by the term $\mathrm{tr}\, (B(t))=-b_{n-1}(t)$. Further development . This interpretation fits well in the …
ordinary differential equations - What is the purpose of Wronskian ...
2015年4月22日 · The Wronskian pops up all over the place in linear differential equations. Abel's formula is one of the most useful tricks in an all of linear ODEs. It relies on the fact that there …
ordinary differential equations - Question about Wronskian ...
2019年9月21日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Linear independence of function vectors and Wronskians
I am taking a course in ODE, and I got a homework question in which I am required to: Calculate the Wronskians of two function vectors (specifically $(t, 1)$ and $(t^{2}, 2t)$). Determine in what
If the Wronskian is zero at some point, does this imply linear ...
2014年12月23日 · To be clear, we have in general that the vanishing of the Wronskian is a necessary but not sufficient condition for the linear dependence of some set of functions. But …
linear algebra - If the Wronskian of two functions is zero then …
2013年7月6日 · I'm studying a book of differential equations which says that if the Wronskian of two functions is zero then these functions are linearly dependent. the author doesn't prove it, …
ordinary differential equations - The role of the Wronskian ...
2022年10月28日 · 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 …
ordinary differential equations - First derivative of the Wronskian ...
2019年4月1日 · I'm not sure how to find the first derivative of the Wronskian. I have the equation of the Wronskian for two functions where I only use the functions and their first derivatives. I …
ordinary differential equations - System Of ODEs - Wronskian ...
2019年8月30日 · So you might not need to handle the inhomogeneous case for the purposes of using the Wronskian effectively, or it might not make sense there. (I actually think that this is …
Solve A Second Order D.E. Using The Wronskian.
2017年7月13日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …