(a) seek power series solutions of the given differential equation about the given point x0; find the recurrence relation. (b) find the first four terms in each of two solutions y1 and y2 (unless the series terminates sooner) (c) by evaluating the wronskian w(y1, y2)(x0) , show that y1 and y2 form a fundamental set of solutions. (d) if possible, find the general term in each solution. (e) use matlab to plot the first four terms in each fundamental solution; i. e. four subplots for each fundamental solution. (1 + x 2 )y 00 − 4xy0 + 6y = 0; x0 = 0

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?