MA232 Study Guide Solutions

# MA232 Study Guide Solutions - MA232 Fall 2008 Final Study...

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MA232 Fall 2008 Final Study Guide Solutions December 1, 2008 Here are the solutions to even problems and others not in the book. Also, the systems solutions are written here in the format in which the test problems should be answered. 1 Variation of Parameters pg.71 problem 22: y = e - 2 t pg.71 problem 23: y = - 2 e - 2 t + e t pg.71 problem 24: y = e t + e 3 t 2 pg.71 problem 26: y = e - t ln | 1 + e t | - ln | 2 | e - t pg.71 problem 27: y = e - t 2 +1 2 pg.71 problem 28: y = 2 e - t 3 +1 3 pg.71 problem 29: y = 1+ln t t Test 2, problem 1a: y = e - 2 t 2 ( t 2 - 1) Test 2. problem 1b: y = 2+ t 2 2( t 2 +1) Test 2, problem 1c: y =5 t 2 + 2 t 3 Summer Test 2, problem 1a: y = - 3 e - 4 t + 5 Summer Test 2, problem 1b: y = 2 t + t Summer Test 2, problem 1c: y = 3+2 t + t 2 1+ t From HW 3: pg. 70, problem 18: y =3 t 3 + t 4 1

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2 Method of Undetermined Coefficients pg.253, problem 44: y = e - t - 3 te - t + 3 sin t Test 3, problem 2a: y = - 7 2 e - 2 t - 3 te - 2 t + t 2 - 4 t + 7 2 Test 3, problem 2b: y = 1 3 e - 2 t cos 3 t - 1 3 e - 2 t Test 3, problem 2c: y = - 1 2 e - t + 2 5 e - 2 t + 1 10 cos t + 3 10
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