Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ cos 2x + C₂ sin 2x Oy" - 4y = 0 Oy" + 4y = 0 Oy" + 2y = 0 Oy" - 4y + 4y = 0 Oy" - 2y = 0

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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Differential Equations

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given.
y = C₁ cos 2x + C₂ sin 2x
Oy" - 4y = 0
Oy" + 4y = 0
Oy" + 2y = 0
Oy" - 4y' + 4y = 0
Oy" - 2y = 0
Transcribed Image Text:Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ cos 2x + C₂ sin 2x Oy" - 4y = 0 Oy" + 4y = 0 Oy" + 2y = 0 Oy" - 4y' + 4y = 0 Oy" - 2y = 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,