Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y = x - x² + 2x. 1
Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y = x - x² + 2x. 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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