MATH 246 Midterm: MATH246 COHEN-J SUMMER II2009 0101 MID EXAM

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

Document Summary

Put a box around your nal answer to each problem!! Show all your work on these pages, using the backs for scratch paper. Check your answers when possible: (60 points) find the solutions, general or initial value problem: (a) t dy dt. 4y2 cos t. (c) (cid:18) 1 t + y. Cos y + y cos t(cid:19) dt +(cid:18) 1 t + y. + t sin y + sin t + 2y(cid:19) dy = 0, y(0) = e. Math 246: (40 points) find the solutions, general or initial value problem: (a) t dy dt. + 6y = 11t5, and y(1) = 3. (b) y . 3. (35 points) sketch some integral curves of this equation - including all the constant solutions - using the direction eld to help you, and discuss the stability of equilibrium solutions: y = y2(y + 1)(y 3).