Consider the differential equation y" - 2y + 17y= 0; ex cos(4x), ex sin(4x), (-∞o, co). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(ex cos(4x), ex sin(4x)) = Form the general solution. y = #0 for -∞o < x < 00.

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 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Consider the differential equation
y" - 2y + 17y = 0; ex cos(4x), e* sin(4x), (-∞0, ∞0).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since W(ex cos(4x), ex sin(4x)) =
Form the general solution.
y =
#0 for -∞o < x < 00.
Transcribed Image Text:Consider the differential equation y" - 2y + 17y = 0; ex cos(4x), e* sin(4x), (-∞0, ∞0). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(ex cos(4x), ex sin(4x)) = Form the general solution. y = #0 for -∞o < x < 00.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,