18.781 Problem Set 2
Thursday, February 23.
Collaboration is allowed and encouraged. However, your writeups should be your own, and you
must note on the front the names of the students you worked with.
Extensions will only be given for extenuating circums
18.305 Solutions
Assignment 3: WKB method
Provided by Mustafa Sabri Kilic
1. (problem 4.a. on page 205) Solve the following equation in closed form
y 00 + xm y = 0
(1)
Solution:
For simplicity, let us rst assume that we are looking for the solution for x
6 856 Randomized Algorithms
David Karger
Handout #14, October 20, 2002 Homework 6 Solutions
M. R. refers to this text:
Motwani, Rajeez, and Prabhakar Raghavan. Randomized Algorithms. Cambridge: Cambridge University Press, 1995.
Problem
Consider a perfect
18.305 Fall 2004/05
Solutions to Assignment 4: The Laplace method
Provided by Mustafa Sabri Kilic
1. Find the leading term for each of the integrals below for > 1.
R4
3
(a) 1 ex (1 + x4 )dx
R
x 1e cosh x dx
(b) 1
R2
(c) 0 ex(1x) dx
2. Find the leading ter
2.092/2.093
FINITE ELEMENT OF SOLIDS AND FLUIDS I
FALL 2009
Homework 1- solution
Instructor:
TA:
Prof. K. J. Bathe
Seounghyun Ham
Assigned:
Due:
Session 3
Session 5
Problem 1 (30 points):
The truss geometry is shown below. Bar mumbers are circled. Joint n
40 f .
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cfw_,9 "I; a T U 7'4 [5 anaWLUWw/f rm?
T U w you) La Lf (5(1) 5
OPQM Pro \oLe/m : Diirvfs T? LXTJC c; (1&1 cochm a c: m
I
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