APPM 2360 Midterm: appm2360_spr16_exam1_solutions_0
Document Summary
On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. A one-page one-sided crib sheet is allowed: (25 points, full answer problem): partial credit given, please show all work, (10 points) using separation of variables, solve the following equation to nd y(t): dy dt. = 2ty2. (1: (5 points) verify your solution to part (a) by substituting your expression for y(t) back into. Equation (1): (10 points) suppose that we seek a solution to equation (1) with the initial condition y(0) = y0. Using this information to eliminate the constant of integration, rewrite your expression from part (a) in terms of y0: first, note that y = 0 is an equlibrium solution of the ode. Solution: variables yields dy y2 = 2tdt .
