#3.) Given the differential equation, y' = 4cosx-3y, y(0)=1, a.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.5 b.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.1 c.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.05 М, у, Please provide the following columns: n, Xp, Yn, M1, M2, M3, M4 n+1 # 4a.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? Yn M1 M2 M3 M4 M Yn+1 # 4b.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? in Yn M, M2 M3 M4 M Yn+1 # 4n.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? Yn M, M2 M3 M4 M Yn+1
#3.) Given the differential equation, y' = 4cosx-3y, y(0)=1, a.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.5 b.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.1 c.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.05 М, у, Please provide the following columns: n, Xp, Yn, M1, M2, M3, M4 n+1 # 4a.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? Yn M1 M2 M3 M4 M Yn+1 # 4b.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? in Yn M, M2 M3 M4 M Yn+1 # 4n.) Approximate y ( ??) using Runge-Kutta, Fourth Order for ?? Let h = ?? Yn M, M2 M3 M4 M Yn+1
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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Please answer all three parts and fill out the chart given(most important). I can't post the same question twice since they are all together.
Transcribed Image Text:# 3.) Given the differential equation, y'=4cosx-3y, y(0)=1,
%3D
a.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.5
b.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h= 0.1
c.) Use R-K, 4th-Order Method to approximate the value of y(0.5) using h=0.05
Please provide the following columns: n, xn, Yn, M1, M2, M3, M4, M,
Let h = ??
# 4a.) Approximate y ( ?? ) using Runge-Kutta, Fourth Order for ??
Xn
Yn
M,
M2
M3
M4
Yn+1
# 4b.) Approximate y ( ?? ) using Runge-Kutta, Fourth Order for ??
Let h = ??
Yn
M1
M2
M3
M4
Yn+1
# 4n.) Approximate y (?? ) using Runge-Kutta, Fourth Order for ??
Let h = ??
M1
M2
M3
M4
Yn
M
Yn+1
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