Use the shooting method to solve the boundary value problem y" + 9y = 0 where y(0) = 1 and y(1.5) = 4. What is the correct initial value of y' (meaning, y' (t = 0)) that satisfies the boundary conditions? Use the forward Euler method with a step size of 0.5.
Use the shooting method to solve the boundary value problem y" + 9y = 0 where y(0) = 1 and y(1.5) = 4. What is the correct initial value of y' (meaning, y' (t = 0)) that satisfies the boundary conditions? Use the forward Euler method with a step size of 0.5.
Calculus For The Life Sciences
2nd Edition
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
Problem 47CR
Question
Transcribed Image Text:Use the shooting method to solve the boundary value problem
y" + 9y = 0
where y(0) = 1 and y(1.5) = 4. What is the correct initial value of y' (meaning, y' (t = 0)) that satisfies the boundary
conditions? Use the forward Euler method with a step size of 0.5.
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