# Laplace of the differential of another variable in sage

Why did the diff(y.laplace(t,s),x) come out to be `D[0](laplace)(y(x, t), t, s)*D[0](y)(x, t)`

? Could someone help me?

Laplace of the differential of another variable in sage

`D[0](laplace)(y(x, t), t, s)*D[0](y)(x, t)`

? Could someone help me?

add a comment

1

As best I can tell, it looks like Sage is doing the chain rule here. So, it is treating `laplace(y,t,s)`

as a symbol and gives the derivative w.r.t. x as `D[0](laplace(y,t,s))*D[0](y(x,t))`

. Taking the second derivative gives something that looks like the product rule and the chain rule were used.

I think Sage is using Maxima to do this. So, this might be an issue with how Maxima handles partial derivatives of Laplace transforms.

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: ** 2012-08-21 05:47:19 +0200 **

Seen: **374 times**

Last updated: **Sep 10 '12**

how to get output in a mixed fraction?

Sage binary system requirements

2D plotting in sage looks wrong

How to find if computation is in a notebook or sage prompt ?

Will upgrading to Python 3.x on my system break Sage?

sage server in other than apache document root

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.