25.3 Use the (a) Euler and (b) Heun (without iteration) methods to solve d²y dt² - 0.5t + y = 0 where y(0) = 2 and y'(0) = 0. Solve from x = 0 to 4 using h = 0.1. Compare the methods by plotting the solutions.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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25.3 Use the (a) Euler and (b) Heun (without iteration) methods to
solve
d²y
dt²
-
0.5t + y = 0
where y(0) = 2 and y'(0) = 0. Solve from x = 0 to 4 using h = 0.1.
Compare the methods by plotting the solutions.
Transcribed Image Text:25.3 Use the (a) Euler and (b) Heun (without iteration) methods to solve d²y dt² - 0.5t + y = 0 where y(0) = 2 and y'(0) = 0. Solve from x = 0 to 4 using h = 0.1. Compare the methods by plotting the solutions.
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