Consider an mass-spring system with the following IVP for itsdisagreement y (t) at time t greater than or equal to 0. You mayassume it is underdamped.
y" + y' + 5y = 0 , y (0) = -2 , y '(0) = -1
(a) Convert this to a DE system IVP in displacement y andvelocity v.
(b) Without using technology or solving the second order DE,make a rough sketch of the system solution on a phase plane. Itdoes not need to be precise, but briefly show and explain thedirection you give at the initial value, and the long term behavioras t heads towards infinity
