In this project, we are taking given values of a pain killing drug being tested and making a graph in order to determine if it is performing correctly or needs to be reformulated and retested. In this case we are expecting the drug to provide stable steady pain relief for the “patient” for two hours precisely. In order to determine the accuracy of the drug being tested, a differential equation will be made with various variables and graphed. The expected graph is to be a curve which peaks and then falls back down around the two-hour mark, indicating that the drug is being eliminated from the patient’s system.  The graph will determine how the drug performs with the given formulation. The results indicated that the tester drug was nowhere near ready to be used or released because the graph had no asymptotes (the graph is a straight horizontal line) and indicated no signs of the drug being eliminated, which could be potentially fatal for the patient. So, the drug would need to be sent back and re- formulated and retested several times before it can be given to patients.