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Consider an mass-spring system with the following IVP for its disagreement y (t) at time t...

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Advance Math

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

Answer & Explanation Solved by verified expert
3.8 Ratings (422 Votes)
Kindly go through the solution provided belowDynamic systems are used to model situations where the state ofthe system is defined by a set of differential equationsThe systems    See Answer
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