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# 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

# 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

Advanced Engineering Mathematics
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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Subject: Differential equation

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# 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
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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