2.4.2 Circular bar

I neglected to mention that also ∫^L_− Lcos((nπx)/(L))sin((nπx)/(L))dx = 0 for all integers n, m.

2.5.1 Rectangle

BVP

Decomposition trick

Here is the solution u₄(x, y) for some random f₁(y) that I chose, with temperature u(x, y) indicated by color.

got to here

2.5.2 Disk

2.5.3 Flow outside a cylinder

2.5.4 Qualitative properties