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 = C₁ + C₂ cos(x) + c3 sin(x), (-∞0, ∞0); y""+y' = 0, y(π) = 0, y'(π) = 8, y"(n) = -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 = C₁ + C₂ cos(x) + c3 sin(x), (-∞0, ∞0);
y""+y' = 0, y(¹) = 0, y'(π) = 8, y"(π) = -1
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 = C₁ + C₂ cos(x) + c3 sin(x), (-∞0, ∞0); y""+y' = 0, y(¹) = 0, y'(π) = 8, y"(π) = -1
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