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so while I was gone Valerie was here all night trying to work on a problem to for me to solve so she wrote up on the board and I havenamp;#39;t seen it yet so letamp;#39;s see what it is and oh hey Valerie model this oh gosh y double dot and two and itamp;#39;s multiplied by the Der of itself ah this no this is just too hard I canamp;#39;t do this one Iamp;#39;m Iamp;#39;m not going to do this one sorry youamp;#39;re going to let me give up that easily you canamp;#39;t give up that easily even if you see a hard problem you have to attack it and break it down so weamp;#39;re not going to give up that easily weamp;#39;re going to break this problem down and model it okay ready okay well we have a lot of yamp;#39;s and Y dots and Iamp;#39;m getting a little confused with all the derivatives so letamp;#39;s try to put this in a state space model and so weamp;#39;ll assign specific variables so letamp;#39;s first say okay letamp;#39;s just make y X1 the X1 weamp;#39;re goin