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

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

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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(a) The falling parachutist satisfies the following differential equation: dv _ v, dt Where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s?), c is drag coefficient (kg/s) and m is the mass of the parachutist. Take g = 9.8067, m=80 and c=5, Estimate the velocity of the parachutist till time t = 2 using the Euler's and fourth-order Runge-Kutta method with At = 1 and vo= 0. Find exact solution then find the absolute errors for each method. Conclude which method is more accurate?
Transcribed Image Text:(a) The falling parachutist satisfies the following differential equation: dv _ v, dt Where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s?), c is drag coefficient (kg/s) and m is the mass of the parachutist. Take g = 9.8067, m=80 and c=5, Estimate the velocity of the parachutist till time t = 2 using the Euler's and fourth-order Runge-Kutta method with At = 1 and vo= 0. Find exact solution then find the absolute errors for each method. Conclude which method is more accurate?
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