Undetermined Coefficients. Here is an alternative way to solve the equationdy/dt = ay b. (i)(a) Solve the simpler equationdy/dt = ay. (ii)Call the solution y1(t).(b) Observe that the only difference between Eqs. (i) and (ii) is the constant b in Eq. (i).Therefore, it may seem reasonable to assume that the solutions of these two equationsalso differ only by a constant. Test this assumption by trying to find a constant k such thaty = y1(t) + k is a solution of Eq. (i).(c) Compare your solution from part (b) with the solution given in the text in Eq. (17).Note: This method can also be used in some cases in which the constant b is replacedby a function g(t). It depends on whether you can guess the general form that the solutionis likely to take. This method is described in detail in Section 3.5 in connection with secondorder equations

Intro to Statistics 4.1, 4.2 & 4.3 Probability & the Addition Rule Chapters 1, 2 & 3 cover techniques necessary for descriptive statistics. We learned how to calculate the mean, median, mode, range, and midrange. We learned about the shape of our data via frequency distributions and relative frequency distributions. We learned how to calculate how much our data varies. All of these things summarize and describe what is going on within our data. Chapter 4 is all about probability, the ﬁrst topic in inferential statistics. 4.1 & 4.2 Basics of Probability Inferential Statistics: -makes inferences (draws conclusions) about a population using data drawn from that population -statisticians collect samples from the population and draw c