Department of Mathematics Final Exam
Math 39100 Part I (71pts) Answer all problems.
1. (8pts) Find the general solution to y + 2ty = 2tet . 2. (9pts) Find the solution to y = (1 4x)y 2 , 3. (8pts) Find the general solution to 2y 2 + sin x + (4xy + cos y )
Department of Mathematics
Math 391 Final Examination Date: May, 2005 Part I. Answer ALL questions. Total 64 points. 1. [13 Points] Solve the initial value problem: y 4y + 4y = x2 + 12e2x , 2. [8 Points] Solve y cos(xy ) + y 1 1 dx + x cos(xy ) + ln(x) + y
Department of Mathematics
Math 391 Final Examination Fall 2005
Part I. Answer ALL questions. Total 70 points. 1. [6 Points] Find the general solution to y (4) 4y + 4y = 0. 1 2 2. [10 Points] Solve ey 5y sin(xy ) + x 1 2 dx + 2xyey 5x sin(xy ) y dy = 0.
3.