MATH 246 Midterm: MATH246 COHEN-J SUMMER II2009 0101 MID EXAM 1

• 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: (45 points) find the general solutions: (a) y + 2y + 10y = 0 (b) y + 2y 15y = 0 (c) y + 2y 15y = , given that yp = 1 t is a solution. Math 246: (40 points) look at the equation y + y = sin t (a) for the method of undetermined coe cients, what would be the form of a particular solution. Do not solve. (b) now nd a particular solution of this equation using variation of parameters. Math 246: (45 points) (a) find the equation of the vibrating spring system with mass 1, coe cient of resistance 2, and spring constant 2 which is at rest until a force of. 3 cos t sin t is applied at time 0.