a) Euler method, b) 4th order Runge-Kutta method y' – y = t2 + 1, y(0) = 0.5. Use the information given in following table. Group C t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size Group A Group B Group D t (sec.) Step Size 0.25 1.6 0.4 3 0.75 2.4 0.6 Group E Step Size Group G t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size Group F Group H t (sec.) 3.8 0.95 1.4 0.35 1.80 0.45 3.2 0.8

a) Euler method, b) 4th order Runge-Kutta method y' – y = t2 + 1, y(0) = 0.5. Use the information given in following table. Group C t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size Group A Group B Group D t (sec.) Step Size 0.25 1.6 0.4 3 0.75 2.4 0.6 Group E Step Size Group G t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size Group F Group H t (sec.) 3.8 0.95 1.4 0.35 1.80 0.45 3.2 0.8

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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Question

100%

Solve for GROUP (A). !!!!!!!!!

a) Euler method,
b) 4th order Runge-Kutta method
y' – y = t2 + 1, y(0) = 0.5.
Use the information given in following table.
Group C
t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size
Group A
Group B
Group D
t (sec.)
Step Size
0.25
1.6
0.4
3
0.75
2.4
0.6
Group E
Step Size
Group G
t (sec.) Step Size t (sec.) Step Size t (sec.) Step Size
Group F
Group H
t (sec.)
3.8
0.95
1.4
0.35
1.80
0.45
3.2
0.8

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