AGO . bill ) Custom damping Clear Di , C2 , z , $1 generalsol , t Look at this charequation asols = Solve charequation. = ) ; b = 0 . 2 : generalsoi t ] = = 6 .2 CIERI+ + 02 2 ( 21 3sols It 2 2 + 2501= [ 2 , 1 , 213 initialdisplay australved 30 Solve (generalsol Of = = ystarter , genes also1 0 = = primestarter ) ) overdamped ( t ) = Chop Complex Expand generalsol 1 . CoolSITE Clear (8 ) 35 1 5 + 12 8 6 + 8 ( 6 ) 50 0 2 ERSTELE - 9 - 36:2 3 25494 5 - 2 8353 solve Ity ( by ( tray t =2 0 3 10 as initialdisplaceser 01 = = initialvel ) . It ) . It . 0 endtime ! ) This is what folks call an overdamped oscillator It = vit andasol [1 1 Reason : No sines or cosines so it doesn't oscillate at all It just dies Lightlyamped = Plot ( It . It . D , andtime ) , lotstyle Thickest C . Di Blue PlotRange - All out to O AcesLabel 't " It ! ' Plotlabel Lightly dumped Oscillator See all thre Epilog ( Thickness (0 013 , Red Line(DID , 0 .5 , Sendtime , 6 5 19 . Thickness 1 0 01 , Red , Lane ( 10 0.5 , Sendtime 0 5327131 : Plot isundamped ( + ) lightly dumped ( + ) , poverdamped ( + ) ( t , 0 , 9 ) , Plotstyle OfThickness (0 01 , Blue BI ). Elonely surges 28921:250 Thickness ( 0 01 , Red ) ( Thickness C . 01 ) Magenta ) , Races Label + ' " AspectRatio PlotLegend ( an " " light ver " ) . Legendsise + 0 . 4 AAAAAA This is the plot of the damped oscillator coming from " [ ] + by [ 1 ) + cy ( 4 ) = 0 MY with [ ] = 70 , 10] 2 and Your job is to come up with a new damping coefficient b so that when 2 you keep everything else the same , then the plot of the new damped Your mission is to keep cas defined above and find the critical value oscillator beritical so that if oscillates between the red lines for when I is bigger than 6 bu