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Unformatted text preview: Differential Equations/ Linear Algebra Mid term Test -II MTH 2201 Duartion: 50 min 3/13/2008 Max. Credit: 30 points Answer all the questions. No credit will be given if only the answer is written without showing the relevant supporting work. Write legibly. The numbers at the end of each question indicate the maximum credit for the corresponding question. 1. Find the solution of the initial value problem, using the method of undetermined coefficients: y + 3y + 3y + y = 30e-x  y(0) = 3, y (0) = -3, y (0) = -3. 2. Use the method of variation of parameters and find the solution of the differential equation: y + 3y + 2y = sin(et )  3. Solve the differential equation: ty (4) + 6y (3) = 0. 4. Solve the differential equation: y =
1 t   1 ...
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