Koofers

Past Exam for MATH 2214 - Intro Diff Equations with Linnell at Virginia Tech (VT)

Exam Information

Material Type:Exam 3
Professor:Linnell
Class:MATH 2214 - Intro Diff Equations
Subject:Mathematics
University:Virginia Polytechnic Institute And State University
Term:Fall 2006
Keywords:
  • Constant Vector
  • The Independent
  • Independent
  • General Solution
  • Eigenvector
  • Imaginary Parts
  • Original Equation
  • Generalized
  • Eigenvectors
  • Homogeneous
Login / Sign Up to View Document
Preview Page 1Preview Page 2Preview Page 3

Sample Document Text

Math 2214 Friday, November 10 Third Test. Answer All Problems. Please Give Explanations For Your Answers 1. Find the general solution of the differential equation y (4) +2y primeprime +y = 0. (10 points) 2. Write the linear differential equation y primeprime +ty prime +t 2 y = t 3 in the form y prime = P(t)y+g(t), where P isa22 matrix. Identify the matrix function P(t) and the vector function g(t). (10 points) 3. Find the general solution of the system of differential equations x prime = 2x?y, y prime = x. (15 points) 4. Let A = parenleftbigg 1 ?1 2 ?1 parenrightbigg and g = parenleftbigg e t 0 parenrightbigg . Find the general solution of the system of differen- tial equations y prime = Ay+g by the method of undetermined coefficients. (15 points) Math 2214 Friday, November 10 Solutions to Third Test 1. The characteristic equation is r 4 +2r 2 +1 = 0, which is (r 2 +1) 2 = 0. Since the roots of r 2 +1 are i, we see that the roots of (r 2 +1) 2 are ...

Related Documents

Order Differential Equation Notes
Separate Paper Exam
The Independent Notes
The Independent Exam
Separate Paper Exam
Eigenvector Exam
General Solution Exam
Form Designation Exam
Calculators Exam
The Independent Exam
Matrix Equation Exam
Dancis Final Exam Exam
Calculators Notes
Autonomous Differential Equation Exam
The Independent Exam
Homogeneous Notes
155, "/var/app/current/tmp/"