MATH 246 Midterm: MATH246 COHEN-J FALL2000 0101 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 246
• Professor: All

Document Summary

Show all your work on these pages, using the backs for scratch paper. Check your answers: (60 points) find the general solutions: (a) t (b) t dy dt dy dt. = (1 + y2). (c) 1 t + y. Cos y + y cos t dt + 1 t + y. + t sin y + sin t dy = 0: (40 points) solve the initial value problems (a) dy dt. 2 t y = cos t t2 , and y( ) = 0, t > 0. (b) (2xy 6x2y2)dx + (x2. 4x3y + 24y3)dy = 0, y(0) = 1: (40 points) i bought 1,000 pounds of radioactive cohenium (used in the produc- tion of a gpa destroying bomb), and had it mailed to me by surface mail. Starting at time t = 0, a solution containing 1 lb. of salt per liter is poured into the tank at the rate of 3 liter/min, and a second solution containing.