MATH-0051 Midterm: MATH51 PastExams Exam2-S11
Document Summary
Please make sure all electronic devices are turned o and out of sight. Show all work and cross out work you do not want graded! With your signature you are pledging that you have neither given nor received assistance on this exam. Good luck: (15 points): use the method of undetermined coe cients to nd a particular solution of the equation x. 2x = 18te 2t: (10 points): solve the following equation by the method of variation of parameters. + 2x = sec t: (10 points): find the laplace transform of the following functions: (a) te t sin 2t. 2, t, et 3 + 3, (b) if t < 2, if 2 t < 3, if 3 t: (10 points): find the inverse laplace transform of the following functions: (a) (b) e s(1 + s) 2(s2 + 1) s s2 2s + 2: (10 points): use the following steps to compute the convolution t (sin t et) :
