
Originally Posted by
flaming
Hello i was wondering if someone could help me out and show me how to solve the following heat wave problem.We dont have a book for this class and i couldnt make it to my last class so i dont knoow how to go about this question
Solve the wave equation using seperation of variables and show thte the solution reduces to D'Alembert's solution
$\displaystyle \mu_{tt} = c^2\mu_{xx} $
$\displaystyle \mu(0,t) = 0$
$\displaystyle \mu(L,t) = 0$
$\displaystyle \mu(x,0) = f(x)$
$\displaystyle \mu_t(x,0) = 0$