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Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 6; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 First, use increment h = 0.1 1.1 Yn + 1 = Yn + hf(xnr Yn) 1.05 1.15 y(1) y(1.2) y(1) y(1.1) 5.99 Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.2) 5.87 5.9975 5.9425 5.885 6 5.875 (3) 6 X X X X X

Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 6; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 First, use increment h = 0.1 1.1 Yn + 1 = Yn + hf(xnr Yn) 1.05 1.15 y(1) y(1.2) y(1) y(1.1) 5.99 Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.2) 5.87 5.9975 5.9425 5.885 6 5.875 (3) 6 X X X X X

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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Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 6; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 First, use increment h = 0.1 1.1 Yn + 1 = Yn + hf(xnr Yn) 1.05 1.15 y(1) y(1.2) y(1) y(1.1) 5.99 Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.2) 5.87 5.9975 5.9425 5.885 6 5.875 (3) 6 X X X X X
Transcribed Image Text:Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 6; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 First, use increment h = 0.1 1.1 Yn + 1 = Yn + hf(xnr Yn) 1.05 1.15 y(1) y(1.2) y(1) y(1.1) 5.99 Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.2) 5.87 5.9975 5.9425 5.885 6 5.875 (3) 6 X X X X X
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