Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem y=xxy, y(1) = 4. 1. Estimate y(1.4) with a step size h = 0.4. Answer: y(1.4) 2. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 3. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4)
Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem y=xxy, y(1) = 4. 1. Estimate y(1.4) with a step size h = 0.4. Answer: y(1.4) 2. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 3. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4)
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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Transcribed Image Text:Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem
y = x
xy, y(1) = 4.
1. Estimate y(1.4) with a step size h
=
Answer: y(1.4)~
= 0.4.
2. Estimate y(1.4) with a step size h = 0.2.
Answer: y(1.4)~
3. Estimate y(1.4) with a step size h = 0.1.
Answer: y(1.4)~
4. Find y(1.4) using a solver like scipy.integrate.solve_ivp or the analytic solution.
Answer: y(1.4)
=
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