With the method of RK of order FOUR determine the approximate solution of the ODE: dy dt 4e0.8t - 0.5y Wearing h = 0.5 with y(0) = 2, from t=0 to t=4. Write an algorithm and its implementation in the Octave program.

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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With the method of RK of order FOUR determine the approximate solution of
the ODE:
dy
dt
0.8t - 0.5y
= 4e0
Wearing h = 0.5 with y(0) = 2, from t=0 to t=4. Write an algorithm and its
implementation in the Octave program.
Transcribed Image Text:With the method of RK of order FOUR determine the approximate solution of the ODE: dy dt 0.8t - 0.5y = 4e0 Wearing h = 0.5 with y(0) = 2, from t=0 to t=4. Write an algorithm and its implementation in the Octave program.
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