MAT 239 Midterm: MAT 239 NAU sMidterm3
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Optional exam 3 will be thursday, dec. 3, 2009. Amb 109 (next to my o ce) from 2:30-3:20. One page of notes with writing on both sides is allowed. Please keep your page of notes. (you can bring three pages to the nal exam. ) Here is a sample exam, from a previous semester. Problem 3 is missing because we did not cover it this semester. Find the recurrence relation for the series solution y = y + x2y + y = 0. Do not solve the recurrence relation. anxn to the ode. Xn=0: suppose that the series solution, y = the recurrence relation. Xn=0 anxn, to a second order linear ode has an+2 = (n + 3)an (n + 1)(n + 2) Use v to represent the velocity function, that is, v = u . u = v = Now write the system using matrices d dt " u v # = "
