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25.3 Use the (a) Euler and (b) Heun (without iteration) methods to solve d²y 0.5t + y = 0 dt² 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.

25.3 Use the (a) Euler and (b) Heun (without iteration) methods to solve d²y 0.5t + y = 0 dt² 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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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chapter 25 problem 3

25.3 Use the (a) Euler and (b) Heun (without iteration) methods to solve d²y 0.5t + y = 0 dt² 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 0.5t + y = 0 dt² 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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