The following problems should be turned in for credit. Show all of your work for full…

The following problems should be turned in for credit. Show all of your work for full credit. If you use MATLAB for calculations, attach your code. 1. A linear damped harmonic oscillator is defined by the equation drz+ 25W + w x = 0 where w, is the undamped frequency of the system and is the damping coefficient. The damping coefficient has a strong effect on the overall behavior of the oscillator. a) For several (positive) values of wo, simulate (using appropriate initial conditions) the oscillator in MATLAB under the following conditions: i. (>1 iii. iv. V. 0