You may use a calculator and one 8 11" sheet of handwritten notes (both sides). You must show your work to receive full credit. All problems have a solution that can be found using the techniques of this class. Series solutions should be listed at least through the x4 term unless otherwise specified. On my honor, as a student, i have neither given nor received unauthorized aid on this examination: _______________________________________ ___________ (signature) (date) Name:___________________________________: note: you may use the table of laplace transforms which is attached at ( ) 2cos( ) 1 f t t the end of the test, find the laplace transform of, find the inverse laplace transform of. Name:___________________________________: solve the initial value problem t. "" 8 " 15 y y y (0) 0, y. 4) x y y (0) 1, y y. Name:___________________________________: solve the initial value problem (your solution will involve an integral) "" 4 " 5 y y y f t.
