Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can be written in the form vith Using this form, r₁ = -2 - 4- y = C₁e¹¹t+C2₂e¹2t r₁ < r₂ and r₂ = 2

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 33CR
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Find the general solution to the homogeneous differential equation
The solution can be written in the form
with
Using this form, r₁ = -2
d²y dy
dt²
4 = 0
dt
y = C₁e¹¹t+C₂e¹²t
r₁ < r2
and r₂ = 2
Transcribed Image Text:Find the general solution to the homogeneous differential equation The solution can be written in the form with Using this form, r₁ = -2 d²y dy dt² 4 = 0 dt y = C₁e¹¹t+C₂e¹²t r₁ < r2 and r₂ = 2
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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