MATH 2065 Midterm: MATH 2065 LSU f08Exam 3
Document Summary
Answer each of the questions on your own paper. Put your name on each page of your paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. A table of laplace transforms has been appended to the exam. Use variation of parameters to nd a particular solution of the nonhomogeneous dif- ferential equation y + 4y + 4y = t 3e 2t: [14 points] find the laplace transform of the following function: f (t) =(t2 4t. 0 if 0 t < 4, if t 4: [16 points] find the inverse laplace transform of the following functions: (a) f (s) = 2 s2 + 9 e 2 s: [22 points] solve the following initial value problem: y + 16y = h(t ) h(t 3 ), y(0) = 1, y (0) = 0.
