Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem y' = (y + 3), y(1) = 1 at the points a = 1.2, 1.4, 1.6, and 1.8. Compare these to the actual values y(1.2), y(1.4), y(1.6), and y(1.8). What do you notice about the difference between the approximated values versus the exact values as the x value increases?

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem
y' = (y + 3), y(1) = 1 at the points a = 1.2, 1.4, 1.6, and 1.8. Compare these to the actual
values y(1.2), y(1.4), y(1.6), and y(1.8). What do you notice about the difference between the
approximated values versus the exact values as the x value increases?
Transcribed Image Text:Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem y' = (y + 3), y(1) = 1 at the points a = 1.2, 1.4, 1.6, and 1.8. Compare these to the actual values y(1.2), y(1.4), y(1.6), and y(1.8). What do you notice about the difference between the approximated values versus the exact values as the x value increases?
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