3. Use Euler's method to approximate the value of = -2x³ + 12x2 – 20x + 8.5 from x = 0 to x = 4. The initial condition is y(0) = 1. Use the following step size: a. h = 0.5 b. h = 0.25 h = 0.1 d. Compute for the true error and relative percentage error using the true value of y = -0.5x* + 4x3 + 8.5x + 1 at x=4 for each given steps. C.
3. Use Euler's method to approximate the value of = -2x³ + 12x2 – 20x + 8.5 from x = 0 to x = 4. The initial condition is y(0) = 1. Use the following step size: a. h = 0.5 b. h = 0.25 h = 0.1 d. Compute for the true error and relative percentage error using the true value of y = -0.5x* + 4x3 + 8.5x + 1 at x=4 for each given steps. C.
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:3. Use Euler's method to approximate the value of = -2x³ + 12x² – 20x + 8.5 from x =
dx
0 to x = 4. The initial condition is y(0) = 1. Use the following step size:
a. h = 0.5
b. h = 0.25
h = 0.1
d. Compute for the true error and relative percentage error using the true value of y = -0.5x* +
4x3 + 8.5x +1 at x=4 for each given steps.
C.
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