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9 R? (x + R)² dt2 dx x(0) = 0 , %3D de (0)

9 R? (x + R)² dt2 dx x(0) = 0 , %3D de (0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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