The correct question is;
A string is stretched and fastened to two points distance l apart. Motion is started by displacing the string into the form y = k(lx - x²),from which it is released at time t = 0. Which are the correct conditions?
Answer:
The boundary conditions are listed below.
Step-by-step explanation:
The displacement y(x,t) will be given by the equation;
d²y/dt² = a²(d²y/dx²)
Thus, the boundary conditions will be as follows;
1) y(0,t) = 0 ; for values of t ≥ 0
2) y(l,t) = 0 ; for values of t ≥ 0
3) y(x,0) = 0 ; for 0 ≤ x ≤ l
4) dy/dt (at t = 0) = kx(l - x) ; for 0 ≤ x ≤ l
