MATH-0051 Final: MATH51 PastExams Final-S13
Document Summary
No calculators, books or notes are allowed on the exam. All electronic devices must be turned off and put away. you must show all your work in the blue book in order to receive full credit. Please box your answers and cross out any work you do not want graded. With your signature you are pledging that you have neither given nor received assistance on the exam. Show that x(t) = t + 4 is a solution of the differential equation sin(t)d3x + 4dx x = t: write sin(t)d3x + 4dx x = t as a system of differential equations. c . Give one solution to the system in vector form: (10 points) solve the initial-value problem dx dt. = x2, x(0) = 3: (10 points) find all solutions (in vector form) to the equation d~x = . ~x: (10 points) find all solutions to the equation d~x = (cid:18) 3.
