The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value proble y = c₁e4x + c₂e-x, (-∞, ∞); y" — 3y' - 4y = 0, y(0) = 1, y'(0) = 1

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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The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem.
y = c₁¹x + c₂e¯x, (-∞, ∞); y" – 3y' – 4y = 0, y(0) = 1, y'(0) = 1
y =
Transcribed Image Text:The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. y = c₁¹x + c₂e¯x, (-∞, ∞); y" – 3y' – 4y = 0, y(0) = 1, y'(0) = 1 y =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,