MATH 265 Midterm: MATH 265 2009 Winter Test 1 sec101
Document Summary
Be sure that this examination has 13 pages. Write your name on top of each page. You are allowed to bring into the exam one 8 1 calculators or any other aids are allowed. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. 2 11 formula sheet lled on both sides. Rules governing examinations: each candidate must be prepared to produce, upon request, a. 1 s , s > 0 n! sn+1 , s > 0. Solve the initial value problem: (ex sin x)y = 1 (ex cos x)y, with y( /2) = e /2. Find all solutions of the di erential equation (x + 1)3y + (x + 1)e y = 0. Use the method of undetermined coe cients to nd the general solution of y + y = cos t.