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MTH 3210 Midterm Test 1: Fall 2014
Name
Problem 1 (35pts)
Solve the wave equation Uu 25ii3;x- for a string of length 7r with both ends fixed at height zero for
all time cfw_zero Dirichlet boundary conditions), with initialjjosition being xcfw_tt
o
(aJiWim Mvmm
Name
MTH 3210 Quiz 2: FaU 2014
Use Fourier transform to solve the problem for the wave equation:
utt = $uxx,
ucfw_x, 0) = f(x),
ut(x, 0) = 0, -5> rtG PW.
im u(x, t) = 0,
- o < x < +> * >
- < x < +
- oo < x < +oo
t>0
"xl-V+oo
prvU&r?1 GOll