In 11 and 12, set up the boundary-value problem for the steady-state temperature u(x

Chapter 13, Problem 12

(choose chapter or problem)

In Problems 11 and 12, set up the boundary-value problem for the steady-state temperature u(x, y).

A semi-infinite plate coincides with the region defined by \(0 \leq x \leq \pi, y \geq 0\). The left end is held at temperature \(e^{-y}\), and the right end is held at temperature \(100^{\circ}\) for \(0<y \leq 1\) and temperature zero for y>1. The bottom of the plate is held at temperature f(x).

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