ME 218: ENGINEERING COMPUTATIONAL METHODS
Home Work #7
Assigned: November 12
th
, 2010
Due: November 18
th
, 2010
Name: __________________UT EID: ____________Unique: _________
Lab Time: (Mon/Tue)
___PM
Problem 1: Numerical solution procedure for 1
st
Oder ODEs
Solve the following differential equation,
dy/dx =
0.5
y
2
assuming that at
x
= 0,
y
= 5. Integrate your solution to
x =
2 with a step size of 0.5.
(a)
Solve this equation using by hand (without using the help of any computer
application), using the Euler’s method. Report all intermediate steps and finally,
tabulate the values of
y.
(b)
Solve this equation using by hand (without using the help of any computer
application), using the Heun’s method. Report all intermediate steps and finally,
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 Spring '07
 Koen
 Computational science, Euler, following differential equation, intermediate steps, Engineering Computational Methods

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