video1.0<iframe src="https://www.loom.com/embed/f30adeaf1f2d425aa85202729c6f8427" frameborder="0" width="1838" height="1378" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13781838Loomhttps://www.loom.com13781838https://cdn.loom.com/sessions/thumbnails/f30adeaf1f2d425aa85202729c6f8427-34ae22514322f01d.gif3890.689889In this Loom I worked through several differential equation problems step by step, showing how to rearrange and differentiate to eliminate variables, then solve the resulting auxiliary equations. For the antibiotics model I derived the general tissue concentration y, found constants using y at t equals 0, and got an eventual level of about 196.9, which sits in the accepted range. For the crayfish system I solved for w and used w near zero to find t equals about 1.165 years after t equals 0, giving a limitation about populations going negative. I also completed a fox and rabbit model, finding when rabbits die out at about year 2019 and the fox count at about 3750. There was no explicit action requested from viewers.