Define a PDE, solve it, and then test the solution.
You can use pdetest to solve a PDE. First, define the PDE.
Next, give an ansatz.
Use pdetest to simplify the PDE with regard to the ansatz above.
The ansatz above separated the variables, so the PDE can now be solved for F(x).
Now, build a (particular) solution to the PDE by substituting the result above in "ansatz".
Test solutions for PDE systems.
Consider the following PDE, boundary condition, and solution
You can test whether the sol solves pde using pdetest; the novelty is that you can now test whether it solves the boundary condition bc[1]
The boundary conditions can involve derivatives: