Is there an option or setting to tell Maple not to return trivial solution as a solution to a PDE? Even though trivial solution is correct, it is not something I wanted, and it is making it hard for me to check if the solution is trivial or not.
Here is an example:
Mathematica returns this
If there is no such option in Maple, what would be a good way to check for trivial solution using Maple code?
Just checking if rhs(sol)=0 does not work all the time, as some actual solutions are returned with 0 in rhs, like this example
pde := diff(u(x, y), x) + u(x,y)*diff(u(x, y),y) =0:
So I need either find a way to tell Maple not to return trivial solution, or good robust way to check if solution returned is the trivial solution so I can reject it.
Any suggestion from the Maple experts how to handle this? I am now just interested in result from pdsolve, not dsolve.
The input is the PDE itself, read from a file. So this has to be done without visual inspection on the screen as the program reads the PDE from a file and process it. So the dependent variable and the independent variables are all included in the PDE itself. To make it more clear, I need a function such as
#decide if sol is trivial solution or not.
#one possibility is to find from the PDE the dependent variable
#and the independent variables as in u(x,y,t,....) and then check
#if sol has the form u(x,y,t,....) =0 ?
The above I can use until I figure how to tell Maple NOT to return trivial solution in first place!