EGR 265, Fall 2012, TEST II 1
EGR 265, Math Tools for Engineering Problem Solving
October 10, 2012, 50 minutes
Name: ..........................................
TEST II
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7∗
Total
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
EGR 265, Fall 2012, Test II - Engineering Problem Solving with Math Tools, Exams of Mathematics
The fall 2012 test ii for the egr 265 course, math tools for engineering problem solving. The test consists of seven problems covering various topics in engineering mathematics, including differential equations and spring-mass systems. Students are required to find general solutions, initial value problems, and determine system behavior.
Typology: Exams
2012/2013
1 / 7
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download EGR 265, Fall 2012, Test II - Engineering Problem Solving with Math Tools and more Exams Mathematics in PDF only on Docsity!
EGR 265, Math Tools for Engineering Problem Solving
October 10, 2012, 50 minutes
Name:..........................................
TEST II
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7∗
Total
Problem 1 (20 points)
Solve the initial value problem
y′′^ − 2 y′^ + 2y = 0, y(0) = 2, y′(0) = − 2.
Problem 3 (20 points)
Find the general solution of y′′^ − 9 y = 2e^3 x.
Problem 4 (20 points)
An 4 pound weight stretches an undamped spring by 2 feet. (a) Working in English units, find the value of the spring constant k in lb/ft and the mass m of the weight in slugs. (b) Find the equation of motion if the mass is released from the equilibrium position at an upwards velocity of 2 ft/sec. Assume here that the positive x-direction is oriented downwards. (c) Find the first time at which the weight returns to the equilibrium position. Hint: There is a quick and simple way to do this.
Problem 7 (6 points bonus)
Find the general solution of the 5th order linear DE
y(5)^ = 0.
Hint: An educated guess might be the best way to solve this problem.