The eqution of mocin fa re vhrain f e ipe pedalum shown in ig e give y: 32 30 09 0 0 O Asuming a solutin f he om: Whare O, is he amplhue od 0(), os he natura frepeny nd is tie, deie the (@). () Wite a Malab /Octave program to detemine henatural frqpecisof vihration and ther eigenetr. Compare he igenalue and egnvectoswh aytial mehnd. (O Wite a program in Matlab/Octave to execute a power method and inverse power method to demie te agst eigevabe and smallst egevale epectvelywih ther Eigenpir. Dicus an yur fidigs and obsevaios for (i) nd () (w) Develop a Matlab Octave program to plot the mode shapes vs time for two difrent imtal condhias Asuminglengh/is 0.5m g-98lm's mass-2kg. Ue intal Conditon(C) 10, 10, 10) and nther IC as in he tudy case. () What method would you use to verfy he computation of Matab program in question