• A) Use Euler's method to numerically integrate ● m = 68.1 kg from t = 0 to t = 24 with a step size of 2. The initial condition at t = 0 is v=0 dv dt Et = ytrue -Yeuler Ytrue Yi+1 = Y; + hf (x₁, yj) B) Estimate the percent relative error and plot your results C -1v m 100% c = 12.5 kg g=9.81 m/s2 v(0)=0 gm с v(1)= -(1-e-(cm)t)

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

Explain usin eulers method

• A) Use Euler's method to numerically integrate
m = 68.1 kg
c = 12.5 kg
g=9.81 m/s2
from t = 0 to t = 24 with a step size of 2.
The initial condition at t = 0 is v=0
Et
du
dt
=
Ytrue-Yeuler
ytrue
=
Yi+1 = Y; +hf (x₁, y¡ )
B) Estimate the percent relative error and plot your results
g
100%
m
v(0) = 0
gm
v(t)= -(1-e-(c/m)t)
Transcribed Image Text:• A) Use Euler's method to numerically integrate m = 68.1 kg c = 12.5 kg g=9.81 m/s2 from t = 0 to t = 24 with a step size of 2. The initial condition at t = 0 is v=0 Et du dt = Ytrue-Yeuler ytrue = Yi+1 = Y; +hf (x₁, y¡ ) B) Estimate the percent relative error and plot your results g 100% m v(0) = 0 gm v(t)= -(1-e-(c/m)t)
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,