• Assume f (t, y) = 0.15t · cos(y) • yo = 0.02 o h = 0.1 • Use the Runge-Kutta method illustrated above to estimate the solution of the differential equation y = 0.15t · cos(y) at time t = 0.4 • Use your calculated values to fill in this table: tn Yn k1 k2 k3 ka Yn+1 1 2 3 4 Upload your results following the submission instructions outlined below.

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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Assume
f (t, y) = 0.15t - cos(y)
• yo = 0.02
o h = 0.1
Use the Runge-Kutta method illustrated above to estimate the solution of the differential
equation y = 0.15t · cos(y) at time t = 0.4
• Use your calculated values to fill in this table:
tn
Yn
ki
k2
k3
k4
Yn+1
1
3
Upload your results following the submission instructions outlined below.
Transcribed Image Text:Assume f (t, y) = 0.15t - cos(y) • yo = 0.02 o h = 0.1 Use the Runge-Kutta method illustrated above to estimate the solution of the differential equation y = 0.15t · cos(y) at time t = 0.4 • Use your calculated values to fill in this table: tn Yn ki k2 k3 k4 Yn+1 1 3 Upload your results following the submission instructions outlined below.
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