(a)The falling parachutist satisfies the following differential equation:dv_ v,dtWhere v is the velocity of the parachutist (m/s), t is time (s), g is gravityacceleration (m/s?), c is drag coefficient (kg/s) and m is the mass of theparachutist. Take g = 9.8067, m=80 and c=5, Estimate the velocity of theparachutist till time t = 2 using the Euler's and fourth-order Runge-Kuttamethod with At = 1 and vo= 0. Find exact solution then find the absoluteerrors for each method. Conclude which method is more accurate?

Given the differential equation is dvdt=g-cmv and g=9.8067, m=80, c=5 and ∆t=1, v0=0

Answered: (a) The falling parachutist satisfies…

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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