Can this PDE be solvable with Machcad?

I am struggling with a heat equation which has very complec heat generation term.

In the attachment, T is temperature, x,y,x are axes perpendicular to each other, t is time, and other parameters are assumed to be known.

Here, what I want to ask is

1) Is this PDE solvable with Mathcad (w.r.t case 1 and case 2)

or do I have to other softwares like c++, matlab

2) If so, is there anybody who is willing to teach me the code?

I would appreciate it if anybody give me an answer.

Thank you.