Suppose the PDE

PDE:\quad u_{tt} = 9 u_{xx} , \qquad -\infty < x < \infty , \quad t > 0

Has the solutionu(x,t) = A e^{x + 3 t} + B e^{x-3 t}
for some numbers A and B .

Suppose we know thatu(0,0) = 6 and u_t(x,0) = 0 for all x .
Then

A = {}

B = {}

help (numbers)

PDE:

Has the solution

Suppose we know that

help (numbers)

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