Hi all,

I have a partial differential equation similar to the following:

The solution is that f is identically equal to 0.

However, I am having trouble solving this equation in Maple. I type the following:

pde := diff(f(x, y), x)+diff(f(x, y), y) = f(x, y)+f(x, 0);

bv1 := f(x, 10) = 0;

bv2 := f(10, y) = 0;

solution := pdsolve(pde, {bv1, bv2}, numeric, time = x, range = 0 .. 10);

When Maple tries to evaluate the last expression, I get the error

Error, (in pdsolve/numeric/process_PDEs) PDEs can only contain dependent variables with direct dependence on the independent variables of the problem, got {f(x, 0)}

It seems to have difficulties with the expression "f(x,0)". Is there some trick to typing this in a way that makes Maple interpret it correctly?

Edit: I encounter the same problem, when I try to solve the ODE f'(x) = f(x) + f(0), where f(10) = 0.

Best regards.

Hello all

I am new to Maple, and I am solving a system of two coupled partial differential equations using pdsolve, but I am having a hard time retrieving the solution evaluated at some point from the output. The output of pdsolve is a module, which appears to have different "methods" on it, including "plot3d" and "value". I can easily get a plot of my solution by using plot3d, but I don't know how to get a meaningful value out. For instance, if my solution is (f(x,y), g(x,y)), I would like to define H(x,y) = (f(x,y), g(x,y)), and be able to type H(10,10) into Maple to have my solution evaluated at that point. The result should be (1,1).

Here is a toy example:

Best regards.