For problems #1-#4, I would suggest you use the template provided for you on Blackboard. #1.) Given the differential equation, y'=4cosx-3y, y(0)=1, a.) Use Euler's Method to approximate the value of y(0.5) using h=0.5 b.) Use Euler's Method to approximate the value of y(0.5) using h=0.1 c.) Use Euler's Method to approximate the value of y(0.5) using h=0.05 Please provide the following columns: n, Xn, n» Yn+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Subject: Differential equation

Please show all the steps and help me fill out the given template.

For problems #1-#4, I would suggest you use the template provided for you on Blackboard.
#1.) Given the differential equation,
y'=4 cos x-3y, y(0)=1,
a.) Use Euler's Method to approximate the value of y(0.5) using h=0.5
b.) Use Euler's Method to approximate the value of y(0.5) using h=0.1
c.) Use Euler's Method to approximate the value of y(0.5) using h=0.05
Please provide the following columns: n, Xn, Yn, Yn+1
#1a.) Approximate y ( ?? ) using Euler's Method for ??
Let h = ??
Yn
Yn+1
#1b.) Approximate y ( ?? ) using Euler's Method for ??
Let h = ??
Xn
Yn
Yn+1
#1c.) Approximate y ( ?? ) using Euler's Method for ??
Let h = ??
Xn
Yn
Yn+1
Transcribed Image Text:For problems #1-#4, I would suggest you use the template provided for you on Blackboard. #1.) Given the differential equation, y'=4 cos x-3y, y(0)=1, a.) Use Euler's Method to approximate the value of y(0.5) using h=0.5 b.) Use Euler's Method to approximate the value of y(0.5) using h=0.1 c.) Use Euler's Method to approximate the value of y(0.5) using h=0.05 Please provide the following columns: n, Xn, Yn, Yn+1 #1a.) Approximate y ( ?? ) using Euler's Method for ?? Let h = ?? Yn Yn+1 #1b.) Approximate y ( ?? ) using Euler's Method for ?? Let h = ?? Xn Yn Yn+1 #1c.) Approximate y ( ?? ) using Euler's Method for ?? Let h = ?? Xn Yn Yn+1
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