Translate the following into a PDE with boundary conditions.

A thin, homogeneous, rectangular plate coincides with the region defined by $0\leq x\leq a,0\leq y\leq b$. The left end is held at temperature $e^{-y}$, and the right end is held at temperature $21$. The bottom of the plate is held at temperature $e^{-\left(\frac{2x}{b}\right)^{2}}$ and the top of the plate is insulated. The temperature is at a steady state throughout the plate. How to enter the answers.

The PDE is
When $t\geq 0$ the boundary values / initial conditions are:
Left end is held at temperature $e^{-y}$
Right end is held at temperature $21$:
Bottom of the plate is held at temperature $e^{-\left(\frac{2x}{b}\right)^{2}}$:
Top of the plate is insulated: