Using the Fourier SINE or Fourier COSINE transform find the steady - state temperature in the semi-infinite plate shown below.
Hint: This is homogeneous Laplace equation problem.
y u = e⁻ˣ
isolated 2↑__________________
→│
0│---------------------------------> x
u= 0
u = u (x,y)
u(x,0) = 0, u(x,2) = e⁻ˣ, ∂u(x,t) / ∂x│ˣ◦₀ = 0
