Form of the solution of wave equation

[neelakash]

It is just a mere question...Can we write the solution of wave equation as
f=g[(+-)ct(+-)x]?

 

[siddharth]

You can figure this out by yourself. Does it satisfy the wave equation?

 

[monilmodi]

well let us say f = g(ax +- bt)
df/dx = a . (dg/dx)
d2f/dx2(second derivative) = a^2 . (d2g/dx2)

similarly,

d2f/dt2 = -+ b^2 . (d2g/dt2)

which clearly points to the differential eqn. of a wave.

only see that :

1: it is differentiable at every point
2: it is continuous at all points
3: it is defined at all points

this is all necessary for double differentiating.
i hope i have cleared your doubts.