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ME 218: ENGINEERING COMPUTATIONAL METHODS
Homework #10
Assigned: Thursday, November 17
th
, 2011
Due: Wednesday, November 23
rd
, 2011 at 5pm
Please hand your homeworks to Diana Ziegler (ETC 5.128) or slide the homeworks under
Dr. Djurdjanovic’s office door (ETC 5.122)
Name: __________________UT EID: ____________Unique: _________
Lab Time: (Mon/Tue)
___PM
Problem 1: Conversion of Higher Order ODE to 1
st
Order ODEs
(just do it by hand)
Problem 2: Solving IVP using 4
th
order RK method with Matlab
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View Full DocumentProblem 3:
Boundary Value Problem (Finite Difference Method)
A 60m long flexible cable is fixed at both ends. The vertical displacement (positive
downward) of the cable is described by the following boundary value problem.
T
)
(
)
(
2
2
x
w
dx
x
y
d
=
with y(0 m )=0 m and y( 60 m ) = 0 m
The cable tension
T
is 10000 [ N ] and the load (weight) distribution w(x) along the cable
is given by
]
/
[
)
20
/
exp(
10
10
)
(
m
N
x
x
w
+
=
.
Determine the shape of the cable using finite difference method with
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