Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Construct a table showing values of the approximate solution and the actual solution at the points x=0.1,0.2, 0.3, 0.4, 0.5. y'= -y. y(0) = 3; y(x)=3ex Complete the table below. (Round to four decimal places as needed.) Xn Actual, y (xn) 0.1 0.2 0.3 0.4 0.5
Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Construct a table showing values of the approximate solution and the actual solution at the points x=0.1,0.2, 0.3, 0.4, 0.5. y'= -y. y(0) = 3; y(x)=3ex Complete the table below. (Round to four decimal places as needed.) Xn Actual, y (xn) 0.1 0.2 0.3 0.4 0.5
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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![Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Construct
a table showing values of the approximate solution and the actual solution at the points x=0.1, 0.2, 0.3, 0.4.0.5.
y'= - y. y(0) = 3; y(x)=3e¯*
Complete the table below.
(Round to four decimal places as needed.)
Xn
Actual, y (xn)
0.1
0.2
0.3
0.4
0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c3d55bf-c1c1-42f8-afd1-7454c9af6d28%2F4e7ea8aa-c88e-4227-9cb9-f9477ac95c47%2Fdkm866j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Construct
a table showing values of the approximate solution and the actual solution at the points x=0.1, 0.2, 0.3, 0.4.0.5.
y'= - y. y(0) = 3; y(x)=3e¯*
Complete the table below.
(Round to four decimal places as needed.)
Xn
Actual, y (xn)
0.1
0.2
0.3
0.4
0.5
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