Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ + ₂x + c₂e4x Oy" + 5y" + 4y' = 0 Oy"" + 4y" = 0 Oy"" - 5y" + 4y' = 0 Oy" + 4y¹ = 0 y"" - 4y" = 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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Find a homogeneous linear differential equation with constant coefficients whose general solution is given.
y = C₁ + ₂x + c₂e4x
Oy"" + 5y" + 4y' = 0
Oy"" + 4y" = 0
Oy"" - 5y" + 4y' = 0
Oy"" + 4y¹ = 0
Oy"" - 4y" = 0
Transcribed Image Text:Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ + ₂x + c₂e4x Oy"" + 5y" + 4y' = 0 Oy"" + 4y" = 0 Oy"" - 5y" + 4y' = 0 Oy"" + 4y¹ = 0 Oy"" - 4y" = 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,