Question

How can I solve the wave equation?

Answer 1

with a general solution

Answer 2

\[\left( \frac{d^2_{t}}{v^2} -d^2_{x}\right)u(t,x)=0\]The derivatives are partial.
And yes, with a general solution, but please, don't give the answer right away, I'll start this subject next semester and I usually try to work some problems out for myself before seeing the techniques and solutions.

Answer 3

For a confined wave. If possible not, but I thing this way we get the contour conditions easier.

Answer 4

That is how you get the wave equation, not how you solve it.

Answer 5

here's the one-dimensional solution
http://tutorial.math.lamar.edu/Classes/DE/VibratingString.aspx

Answer 6

Nice solution. The application of fourier series was interesting.