1 | initial version |
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 D0*D0. 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.
2 | No.2 Revision |
As best I can tell, it looks like Sage is doing the chain rule here. So, it is treating laplace(y,t,s) laplace(y,t,s)
as a symbol and gives the derivative w.r.t. x as D0*D0D[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.