Solve the heat equation ut = k uxx (0 ≤ x ≤ L) t>0 by the method of Laplace transform respect to time with the B.C. as u(0,t)= u(L,t)=0 and I.C. as u(x,0)=f(x)?
similarly, by the method of fourier transform with respect to x
Please ..Owe >_<I need full calculate