Take the problem

PDE:\quad u_{tt} = 9 u_{xx} , \qquad 0 < x < 7 , \quad t > 0

BC:\quad u(0,t) = u(7,t)= 0

IC:\quad u(x,0) = x(7-x), \qquad u_t(x,0) = 0

Use the D'Alembert solution (remember to make the function odd and periodic) to find

u(1,0.01) = {}

u(1,100) = {}

u(0.5,10) = {}

u(3.5,10) = {}

help (numbers)

PDE:

BC:

IC:

Use the D'Alembert solution (remember to make the function odd and periodic) to find

help (numbers)

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