Hi all,

I am trying to determine the general solution for the following equation:

First of all i factorised it and determined the 1st order ODEs to be:

For equation (1) there are no characterisitcs. While, for equation (2), i determined the characterisitics to be c_2 = x - t

The answer is.... the general solution,

phi(x,t) = F(t) + G(x -t)

Could some explain to me why there is F(t) in the general solution and why is it a function of t?

Thanks in advance,

ArTiCk