92.236 Differential Equations Exam #3 (Take Home) Spring 2006
Problem #1 (25 points) a. Find the general solution to the following ODE: y ' 4y ' = sin x b. Find the general solution to the following ODE: y ' + 4y ' = sin 2x c. Find the general solution to
92.236 Engineering Dierential Equations
Practice Exam # 1 Solutions
Fall 2008
Problem 1. (10 points) Is y(x) = 1/x is a solution of the d.e. y = x y 2 ? Why or why not? 1 1 = x1 y = x2 = 2 . 3 pts. x x 1 12 1 = x 2 . 3 pts. Right side of d.e:
92.236 Engineering Dierential Equations
Practice Exam # 2
Fall 2008
Please write all answers and all work in the blue book provided. PLEASE SHOW ALL WORK! You will not receive full credit if you do not show your work.
Problem 1. (25 points) Consi
92.236 Engineering Dierential Equations
Practice Exam # 3 Solutions
Fall 2008
Problem 1. (15 pts.) Solve the d.e. y (3) + 4y + 4y = 0 The characteristic equation is r 3 + 4r 2 + 4r = 0 r r 2 + 4r + 4 = 0 r(r + 2)2 = 0, which gives r = 0 and r =
92.236 Engineering Dierential Equations
Final Exam
Spring 2006
Please write all answers and all work in the blue book provided. PLEASE SHOW ALL WORK! You will not receive full credit if you do not show your work.
Problem 1. (15 pts.) Solve the fo