02/07/09
EP 471 – Homework #2
Imagine that you are working in a research lab and the researchers need the solutions to these
ordinary differential equations. It is not entirely necessary that you understand everything about
the equations but your boss expects that since you have taken EP/EMA 471 that you will know
how to solve these. As in the first homework set, use publish to HTML to produce a report for
each problem that outlines your solution.
(1) Solve the following BVP over the interval
2
0
≤
≤
t
:
0
)
2
(
,
1
)
2
(
,
0
)
0
(
;
5
10
2
2
2
3
3
3
=
−
=
=
−
=
−
+
dt
y
d
y
y
ty
t
y
dt
dy
dt
y
d
Because of the nonlinear nature of the equation, you should focus just on the
bvp4c
solver.
When you have the solution, plot
y
,
dy
/
dt
and
d
2
y
/
dt
2
all on the same plot.
(2) The most general form of boundary conditions that can be specified for a second order BVP is
a linear combination of the function and its derivative at both ends of the interval.
Consider the
second order equation,
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 Spring '08
 Witt
 Derivative, Trigraph, Elementary algebra, η, Grx

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