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Question: Symmetries of strange PDE

I thought about the following PDE:

 

EDIT: The u(0,t) is not a typo! It is really meant to be part of the PDE!

 

Latex/Matjax: $$\dfrac{\partial u(x,t)}{\partial t}=\alpha \dfrac{\partial^2 u(x,t)}{\partial x^2}+u(x=0,t).$$

Maple: diff(u(x,t),t)=alpha*diff(u(x,t),x$2)+u(0,t)

 

 

How can i determine the symmetries of this PDE with Maple?

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