# 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.

Asked: **
2012-08-20 22:47:19 -0500
**

Seen: **131 times**

Last updated: **Sep 10 '12**

combine sage plot with matplotlib

How to generate an element from laplace distribution

sage 7 installation failed through ppa on ubuntu 14.04

Sage online notebook not working?

why sagemath cannot see other people' file?

How to locate sage at Python shell

Using Pydev (eclipse) and Sage?

Get Sage output on Python 2.7 without writing files [closed]

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.