Recent content by Elkholy

I know that the governing differential equation of a free vibration of a damped system has this form and its solution (subject to initial conditions) is where, , ω_n is the natural frequency and ζ is a damping factor <1 and if drawn it gives But, the problem here is the third and the fourth...

What is the general solution of the following hyperbolic partial differential equation: The head (h) at a specified distance (x) is a sort of a damping function in the form: Where, a, b, c and d are constants. And the derivatives are with respect to t (time) and x (distance). Thanks in advance.