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The speed, v ms-¹, of a skydiver falling through still air t seconds after jumping off a plane, can be modelled by the DE dv 8 -80-v. dt The skydiver jumps off the plane with a downward speed of 5 ms 1 Applying four iterations of the Forward Euler formula with a step size of h = 1 to this problem yields

The speed, v ms-¹, of a skydiver falling through still air t seconds after jumping off a plane, can be modelled by the DE dv 8 -80-v. dt The skydiver jumps off the plane with a downward speed of 5 ms 1 Applying four iterations of the Forward Euler formula with a step size of h = 1 to this problem yields

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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The speed, vms-¹, of a skydiver falling through still air † seconds after jumping off a plane, can be modelled by the DE 8 dv dt = 80-v. The skydiver jumps off the plane with a downward speed of 5 ms-¹ 1 Applying four iterations of the Forward Euler formula with a step size of h = 1 to this problem yields
Transcribed Image Text:The speed, vms-¹, of a skydiver falling through still air † seconds after jumping off a plane, can be modelled by the DE 8 dv dt = 80-v. The skydiver jumps off the plane with a downward speed of 5 ms-¹ 1 Applying four iterations of the Forward Euler formula with a step size of h = 1 to this problem yields
(a) v(1) ≈ The absolute error in this approximation is (b) v(2)≈ The absolute error in this approximation is (c) v(3) ~ The absolute error in this approximation is (d) v(4) ≈ The absolute error in this approximation is
Transcribed Image Text:(a) v(1) ≈ The absolute error in this approximation is (b) v(2)≈ The absolute error in this approximation is (c) v(3) ~ The absolute error in this approximation is (d) v(4) ≈ The absolute error in this approximation is
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