MAT244H1 Study Guide - Midterm Guide: Saddle Point, Phase Portrait, Lagrange Multiplier

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Published on 25 Oct 2018
School
Department
Course
Professor
Page 1 of 7
Department of Mathematics
Test 3
Term: Summer 2013
Student ID Information
Last name: First name:
Student ID #:
Course Code: Mat 244
Course Title: Introduction to Ordinary Differential Equa-
tions
Instructor: Jordan Bell
Date of Test: Wednesday, July 31
Time Period: Start: 1:10 pm
End: 2:50 pm
Duration of Test: 100 minutes
Number of Test Pages: 7 pages
(including this cover sheet)
Additional
Materials Allowed: Ruler
Grade Table
Question Score
1/6
2/10
3/5
4/7
5/10
Σ/38
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Mat 244, Wednesday, July 31, Test 3 Page 2 of 7
1. (6 points) Calculus of variations
Find the extremal of the functional
Z1
0
(y0(x))2
x3dx,
y(0) = 1, y(1) = 1.
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