Find the solution of the given initial value problem 40y" + 13y" + y' = 0, y(0) = -1; y'(0) = −6, y"(0) = 0. On paper, sketch the graph of the solution. How does the solution behave as t→ ∞o? y(t) = As too, y(t) →

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 34CR
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Find the solution of the given initial value problem
40y'" + 13y″ + y' = 0, y(0) = -1; y'(0) = −6, y"(0) = 0.
On paper, sketch the graph of the solution. How does the solution
behave as t→ ∞o?
y(t) =
As too, y(t) —
Transcribed Image Text:Find the solution of the given initial value problem 40y'" + 13y″ + y' = 0, y(0) = -1; y'(0) = −6, y"(0) = 0. On paper, sketch the graph of the solution. How does the solution behave as t→ ∞o? y(t) = As too, y(t) —
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,