The general solution to the equation y'' + 4y' + 5y = 0 has the form eat (c₁ cos(bt) + c₂ sin(bt)) where b ≥ 0. a = b Now suppose that the initial conditions are y(0) = 1, y'(0) = 0. Then solve for: C1 || C2 =

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 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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The general solution to the equation
y'' + 4y' + 5y = 0
has the form eat (c₁ cos(bt) + c₂ sin(bt)) where b ≥ 0.
a =
b
Now suppose that the initial conditions are y(0) = 1, y'(0) = 0. Then solve for:
C1
||
C2 =
Transcribed Image Text:The general solution to the equation y'' + 4y' + 5y = 0 has the form eat (c₁ cos(bt) + c₂ sin(bt)) where b ≥ 0. a = b Now suppose that the initial conditions are y(0) = 1, y'(0) = 0. Then solve for: C1 || C2 =
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,