a uniform string is stretched and faster to two points 'l'part motion is started by replacing a string to the form of curve f(x)and then releasing it from the position at time t=0 . which are the correct condition

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?

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