Find the solution of the differential equation y" – 3y' + 2y = 2x3 – 9x² + 6x %3D a. y = C,ex + C2e2x + x³ + x b. y = C,ex + C2e2x – x3 с. y = C,e* + C2e2x + x³ d. y = C,e* + C2e2x + x³ – x %3D

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 13E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Find the solution of the differential equation
2x3 – 9x2 + 6x
y" – 3y' + 2y =
%3D
y = C,e* + C,e2* + x³ + x
a.
%3D
b.
y = C,ex + C,e2x
– x³.
y = C,e* + C,e²x + x³
с.
%3D
d.
y = C, e* + C2e2x + x³ – x
%3D
Transcribed Image Text:Find the solution of the differential equation 2x3 – 9x2 + 6x y" – 3y' + 2y = %3D y = C,e* + C,e2* + x³ + x a. %3D b. y = C,ex + C,e2x – x³. y = C,e* + C,e²x + x³ с. %3D d. y = C, e* + C2e2x + x³ – x %3D
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,