7 Questions in Test 3 Summer 2008 | Ordinary Differential Equations | MATH 336, Exams of Differential Equations

Download 7 Questions in Test 3 Summer 2008 | Ordinary Differential Equations | MATH 336 and more Exams Differential Equations in PDF only on Docsity! Math 336 Section 1 Test 3 Summer Semester 2008 NAME & ZID: SCORE: 1. (10 points) Use the definition of Laplace transforms to find L{te−6t}. 2. (10 points each) Find the following inverse Laplace transforms. L−1 { 30 s3 + s2 − 6s } L−1 { s + 1 s2 + 6s + 13 } Test 3 MATH 336—Summer 2008 Page 2 of 4 L−1 { s (s2 + 7)2 } Hint: use the special convolutions 4. (10 points) Find the Laplace transform L{g(t)} if g(t) =      5t for 0 ≤ t < 3, 7 for 3 ≤ t < 6, t2 for t ≥ 6.