MATH 246 Midterm: MATH246 COHEN-J SUMMER II2006 0101 MID EXAM 1
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Write down any formula that you use but don"t derive. Show all your work on these pages, using the backs for scratch paper. Check your answers: (30 points) find the general solutions: (a) y . 20y = t + 1 t2 + 20 ln t, after showing that yp = ln t is a solution: (20 points) using the method of undetermined coe cients, what would be the. Form of a particular solution to the following. Do not solve: y + y = t sin t + e2t + 2 + cos t. Math 246: (30 points) find a speci c solution to each of the following: (a) (b) y . 3y + 2y = 2t2. y . 5y + 6y = e2t: (30 points) find the general solution to (t2. 2ty + 2y = 0, t > 0 after noticing that y1 = t is a solution.