Consider the following linear system. 0 where the matrix A -- y' 0 -50 -51 y, yo 1 -50-51 (a) Suppose Heun's method is applied to solve equation H has eigenvalues X₁ = −1 and A₂ = −50. (b) Suppose Heun's method is applied to solve equation with h=1/30. Does y → 0? with h 1/20. Does y → 0?

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
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Consider the following linear system.
0
where the matrix A --
y'
0
-50 -51
y, yo
1
-50-51
(a) Suppose Heun's method is applied to solve equation
H
has eigenvalues X₁ = −1 and A₂ = −50.
(b) Suppose Heun's method is applied to solve equation
with h=1/30. Does y → 0?
with h 1/20. Does y → 0?
Transcribed Image Text:Consider the following linear system. 0 where the matrix A -- y' 0 -50 -51 y, yo 1 -50-51 (a) Suppose Heun's method is applied to solve equation H has eigenvalues X₁ = −1 and A₂ = −50. (b) Suppose Heun's method is applied to solve equation with h=1/30. Does y → 0? with h 1/20. Does y → 0?
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