Consider the following boundary-value problem and answer the 3 questions that follow.
What is an appropriate Fourier transform to solve the heat equation in (a)?
Options:
A. Fourier transform
ofw..r.t. x
B. Fourier transform
of
w..r.t.
t
C. Fourier
sine
transform
of
u(x,t)
w..r.t.
x
D. Fourier
sine
transform of
u(x,t)
w..r.t.
t
E. Fourier
co
sine
transform
of u(x,t)
w..r.t.
x
F. Fourier
co
sine
transform of u(x,t)
w..r.t. t
Extracted text: du = 3. т > 0, t>0 (а) и(0, t) — 0 , t>0 (Ь) u(x, 0) = e- x > 0. (с)