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The general solution of the differential equation y^m-8y-0 corresponds to y = C₁e²x + e* (C₂ cos(x√3) + C3 sin(x√√3)) b- y C₁e²x + e*(C₂ cos(x√3) + C3 sin(x√3)) c- y = C₁e²x + e-2x (C₂ cos(x√3) + C3e* sin(x√3)) d- y C₁e +ex(C₂ cos(3x) + C3 sin(3x))

The general solution of the differential equation y^m-8y-0 corresponds to y = C₁e²x + e* (C₂ cos(x√3) + C3 sin(x√√3)) b- y C₁e²x + e*(C₂ cos(x√3) + C3 sin(x√3)) c- y = C₁e²x + e-2x (C₂ cos(x√3) + C3e* sin(x√3)) d- y C₁e +ex(C₂ cos(3x) + C3 sin(3x))

Calculus For The Life Sciences
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 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Answer 1: The general solution of the differential equation y^m-8y-0 corresponds to a- y = C₁e²x + e* (C₂ cos(x√3) + C3 sin(x√√3)) b- y = C₁e²x + e*(C₂ cos(x√3) + C3 sin(x√3)) c- y = C₁e²x +e-2x (C₂ cos(x√3) + C3e* sin(x√3)) d- y = C₁e + e*(C₂ cos(3x) + C3 sin(3x))
Transcribed Image Text:Answer 1: The general solution of the differential equation y^m-8y-0 corresponds to a- y = C₁e²x + e* (C₂ cos(x√3) + C3 sin(x√√3)) b- y = C₁e²x + e*(C₂ cos(x√3) + C3 sin(x√3)) c- y = C₁e²x +e-2x (C₂ cos(x√3) + C3e* sin(x√3)) d- y = C₁e + e*(C₂ cos(3x) + C3 sin(3x))
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