can help me with this partial differential equation( wave equation). only for question number 1 from the picture i attached.

tudents - Google Chrome 91920/mod/quiz/attempt.php?attempt=202667&cmid=124813 1 Find the displacement u(x.t) of a silver string with 1 meter length is set to oscillate at f(x)=x(1-x) with zero initial velocity, Solve the wave equation if "-# (x,t) = By (x,t) for all 0 0. 2. Find the displacement u(x,t) of a silver string with I'm length is set to oscillate at f(x) = sin(5x x) + 2sin(7# x) with zero initial velocity Solve the wave equation if ." (z,t) = 2 4 (x as (I,t) for all 0 0 3. The initial temperature of a solid rod of 1 unit length is given by u.(x0) = sinIlx for 0