The scalar wave equation is given by
∂x2∂2u=c21∂t2∂2uShow by substitution (NOT separation of variables) that
u = f(x − ct) + g(x + ct)
is a general solution to the equation.
This is part of a maths module i'm taking, hence why it's in the maths section and not Physics.
I have started off defining u(x,t) = f(x-ct) and subbing it into the equation, but not sure where to go from there.