Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the following IVP:
g R?
(x + R)2
d²x
dx
x(0) = 0
(0) = vo
dt
dt2
Here g is the gravitational acceleration (m/s?), R is the radius of the earth
(m), and vo is initial velocity (m/s). Choose appropriate variables and write
this IVP in a non-dimensional form.
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Transcribed Image Text:Consider the following IVP: g R? (x + R)2 d²x dx x(0) = 0 (0) = vo dt dt2 Here g is the gravitational acceleration (m/s?), R is the radius of the earth (m), and vo is initial velocity (m/s). Choose appropriate variables and write this IVP in a non-dimensional form.
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