A string is fixed on the x-axis at x = 0 and x = 3. The displacement U(x,t) for the vibrating string at any time t satisfies the wave equation 9. ax2 at? and initial conditions U(x,0) = 2 and au (x,0) = 0. Find U(x,t) which satisfies the boundary %3D value problem.

For the following open loop transfer functions, identify the correct Bode plot from the Bode plots given below: Bode Plots: Magnitude (dB) Phase (deg) O 50 -100 -50 -150 -90 0 -135 -180 Magnitude (dB) a 225 Phase (deg) -270 -20 10:2 -40 -60 -80 -100 0 -90 -180 G(s) = -270 Transfer function: a. 1 10-1 101 O b. 2 O c. 3 O d. 4 S Bode Diagram 10° Frequency (rad/s) Bode Diagram (₁² +s+2)(x² +58 + Frequency (rad/s) s+16) 101 10¹ 10² % 2) Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 50 -50 -100 -45 -90 -135 -180 10/2 -60 -80 -100 -120 90 0 -90 -180 -270 10:2 10¹ 10" Bode Diagram 10° Frequency (rad/s) Bode Diagram 10° Frequency (rad/s) 10¹ 101 10² 102

please please i want solution

3. Calculate and solve the characteristic equation for the following system: (t) -1 | (t) 0 [ 8 ] *) + 10 [ 17 ] x ) = ( [1] -1