Utt means second derivative with respect to t
Uxx means second derivative with respect to x
The answer must meet all of the Boundary and other conditions.
Solve:
Utt = Uxx, 0 < x < pi, t > 0
U(0,t) = 0, U(pi,t) = 0
U(x,0) = 0, Ut(x,0) = 1 for 0 < x < pi
The solution should be in an infinite sum.
Solve:
Utt = Uxx, 0 < x < pi, t > 0
U(0,t) = 0, U(pi,t) = 0
U(x,0) = 0, Ut(x,0) = 1 for 0 < x < pi
The solution should be in an infinite sum.