Find a differential equation model for each of the systems (a and b in the following figures). • Clearly identify the input, the output, the sate variable, the time constant, the steady state response to a constant input of 1, and the order of the system. • Plot the response of each system to a constant input of 1. On the plot clearly mark the values you found in the previous step. • Compare the model to that of a fluid tank, explain the analogy using the time constants