Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential operators for the differential equation, and (2) Find the General Solution for equation. A y (x) = Ar + B + Ccos(5x) + Dsin(5x) + Ee-5x + Fe3x B y (x) = Ax + B + Ccos(5x) + Dsin(5x) + Ee* + Fe-3x © y (x) = A cos(5x) + B sin(5x) + Ce3* + D e-5x D y(x) = Ax + B + Ce-Sx De3x y (x) = Ax + B + Cxe + D e + Fe-3x

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation
y" - 2y' - 15y = 3x + cos(5x)
(1) Find the combined differential operators for the differential equation, and (2) Find the General Solution for the differential
equation.
A y (x) = Ar + B + Ccos(5x) + Dsin(5x) + Ee-5x
+ Fe3x
B
y (x) = Ax + B + Ccos(5x) + Dsin(5x) + Ee* + Fe-3x
© y (x) = A cos(5x) + B sin(5x) + Ce3* + D e-5x
D
y(x) = Ax + B + Ce-Sx
De 3x
E
y (x) = Ax + B + Cxe + D e* + Fe-3x
Transcribed Image Text:Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential operators for the differential equation, and (2) Find the General Solution for the differential equation. A y (x) = Ar + B + Ccos(5x) + Dsin(5x) + Ee-5x + Fe3x B y (x) = Ax + B + Ccos(5x) + Dsin(5x) + Ee* + Fe-3x © y (x) = A cos(5x) + B sin(5x) + Ce3* + D e-5x D y(x) = Ax + B + Ce-Sx De 3x E y (x) = Ax + B + Cxe + D e* + Fe-3x
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