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hey guys what we have here is a transfer function right here thats GMS theyve got our vests as our input CFS is the output and what we want to do is we want to convert this transfer function over to state space all right thats what were gonna do now if you remember in that last video when we covered the theory behind this I didnt show you how to actually go from the transfer function to the differential equation so were gonna do that in this example thats easier to just to just show you with an example so figure do we do it here alright so what we have here is this transfer function remember a transfer function is output over input so that means we have C of s over R of s and were gonna set that equal to this transfer function so we have 100 put that over s to the fourth plus 20 s cubed plus 10 s squared plus 7 s plus 100 now weve got that now were gonna use this to get our differential equation what were gonna do basically is cross multiply so we have this denominator wer