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Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 8; 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 Yn + 1 = Yn + hf(xn₁ Yn) First, use increment h = 0.1 1.1 x(1 y(1) x(1 y(1.2) y(1) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.1) 5.9 y(1.2) 4.45 8 8 (3)

Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 8; 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 Yn + 1 = Yn + hf(xn₁ Yn) First, use increment h = 0.1 1.1 x(1 y(1) x(1 y(1.2) y(1) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.1) 5.9 y(1.2) 4.45 8 8 (3)

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) = 8; 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 x( Yn + 1 = Yn + hf(xn¹ Yn) 1.1 x( y(1) y(1.2) y(1) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.1) 5.9 y(1.2) 4.45 8 8 (3)
Transcribed Image Text:Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 8; 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 x( Yn + 1 = Yn + hf(xn¹ Yn) 1.1 x( y(1) y(1.2) y(1) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.1) 5.9 y(1.2) 4.45 8 8 (3)
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