Find the solution of the given initial value problem. y(4) 10y""+25y" = 0; y(1) = 10 +e5, y'(1) = 5+5e³, y″(1) = 25e³, y″(1) = 125e5. y(t) = How does the solution behave as t → co?
Find the solution of the given initial value problem. y(4) 10y""+25y" = 0; y(1) = 10 +e5, y'(1) = 5+5e³, y″(1) = 25e³, y″(1) = 125e5. y(t) = How does the solution behave as t → co?
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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Question
![Find the solution of the given initial value problem.
y (4) 10y""+ 25y" = 0;
y(1) = 10 + e³, y′(1) = 5+5e³, y″(1) = 25e5, y″”(1) = 125e5.
y(t)
=
How does the solution behave as too?
Choose one](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05348397-f374-46d9-8675-db9885552b10%2F94550594-8984-4309-a4b8-2f644517c12d%2Faqk8l8r_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the given initial value problem.
y (4) 10y""+ 25y" = 0;
y(1) = 10 + e³, y′(1) = 5+5e³, y″(1) = 25e5, y″”(1) = 125e5.
y(t)
=
How does the solution behave as too?
Choose one
![Find the solution of the given initial value problem.
y (4) 10y"" +25y" = 0;
y(1) = 10 +e5, y'(1) = 5+5e5, y″(1) = 25e5, y″(1) = 125e5.
H
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with a decreasing amplitude
Oscillating with an increasing amplitude](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05348397-f374-46d9-8675-db9885552b10%2F94550594-8984-4309-a4b8-2f644517c12d%2Fh0jj41c_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the given initial value problem.
y (4) 10y"" +25y" = 0;
y(1) = 10 +e5, y'(1) = 5+5e5, y″(1) = 25e5, y″(1) = 125e5.
H
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with a decreasing amplitude
Oscillating with an increasing amplitude
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