What is the solution for a one dimensional wave equation?

Question

I need the solution for 1 dimensional wave equation. Please note that, when you assume any constant for deriving the solution,the actual value of the constant must also be derived. I would be grateful if anyone helped me.

Answer 1

There can be no such thing as a one dimensional wave.

Answer 2

y = A sin{(2pi)[t/T - x/lambda]}
You mean solution to wave equation. For each pair of T and lambda, there is a solution with as many values for A as you want. If you have some more data about the wave then can these parameters be fixed. This is not called derivation form of the solution is derived using a trial solution.

Answer 3

look at these sites especially the second