Talk:Laplace transform applied to differential equations

Title
Isn't this a long and "unusual" title which makes it hard for anyone to find this article? Phys 09:50, 27 Oct 2003 (UTC)

A doubt
I think the formula $$a_0 \mathcal{L}\{f(t)\}=\mathcal{L}\{\phi(t)\}+\sum^n_{i=1}a_i\sum^i_{j=1}z^{i-j}f^{(j-i)}(0)$$ is wrong and the right formula is $$\mathcal{L}\{f\}=\frac{\mathcal{L}\{\phi\}+\sum^n_{i=1}a_i\sum^i_{j=1}s^{i-j}f^{(j-1)}(0)}{\sum^n_{i=0}a_is^i}$$ 20:53, 5 Sep 2004

Merge
I think this article should be merged into the Laplace Transform article as a section. This article is not really that long and it is very well explained, yet the title makes it hard to find. 98.199.206.122 (talk) 05:46, 6 March 2008 (UTC)

Don't Merge
The title is long but it works. There should be a lot more examples. I'm looking forward to the day when wikipedia has miles and miles of worked problems.

hovden 18.33 Mar 3, 2009 (NYC) —Preceding undated comment added 23:33, 3 March 2009 (UTC).

How about Non-linear Differential equations?
There is an article by S.B. Karmakar on 'Laplace transform solution of Non linear differential equations'. Can any body include that in this?

Malay Nema —Preceding unsigned comment added by Malay.nema (talk • contribs) 04:06, 4 May 2010 (UTC)

Do Merge
This will be much easier to find as a subsection of Laplace Transform.67.170.103.34 (talk) 23:40, 16 May 2010 (UTC)
 * The only things that link to this page are Ordinary Differential Equation, Slope Field, and Laplace Transform, and only at the bottom. 67.170.103.34 (talk) 01:32, 17 May 2010 (UTC)

Merge not required to make content findable
I fixed this problem with the following edit:

https://en.wikipedia.org/w/index.php?title=Laplace_transform&oldid=602779115

That said, this is still a rather unorthodox page. However, the parent article is already large enough. The question in my mind is whether it should be split differently. Perhaps Applications of the Laplace transform could subsume the existing examples, both inline and hived off. No matter how one slices it, such content treads on Wiki Books. I think a simple worked example from each domain reflects back on the comprehensibility of the main page itself, so it's somewhat justified. &mdash; MaxEnt 21:21, 4 April 2014 (UTC)

Just constant-coefficient linear differential equations
Apparently the article deals with constant-coefficient linear differential equations, not varying-coefficient ones, nor nonlinear ones. It would be helpful, I think, if the title indicated this.Redav (talk) 17:20, 21 October 2023 (UTC)