Question: Consider the PDE: fx + .2fy = 0, with X [0, 1] and y [0,1]. (a) What is the unknown in this equation? (b)

Consider the PDE:
fx + .2fy = 0,
with
X ε[0, 1] and y ε [0,1].
(a) What is the unknown in this equation?
(b) Explain this equation using plain English.
(c) How many functions f(x, y) can you find that will satisfy such an equation?
(d) Now suppose you know the boundary condition:
f(0, Y) = 1
Can you find a solution to the PDE? Is the solution unique?

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