Consider the non-homogeneous differential equation (D)y = F(x) where it has m³ – 3m? + 3m + 7 = 0 as characteristic equation, if it is known that the solution of said equation is y = y. + xe-* +x² , then with all certainty it is true that: Da) F(x) = 12e – 6x + 6 O b) F(x) = xe * Oc) F(x) O d) F(x) 12e - 7x? 6x+ 6 = 12e *

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Consider the non-homogeneous differential equation $(D)y = F(x) where it has m3 – 3m? + 3m + 7 = 0
as characteristic equation, if it is known that the solution of said equation is y = y. + xe-* +x² , then with
all certainty it is true that:
a) F(x)= 12e¯*
Ob) F(x)
Oc) F(x)
6x + 6
= xe z
= re
=12e *
7x2
6x+ 6
O d) F(x) = 12e *
7x2
Transcribed Image Text:Consider the non-homogeneous differential equation $(D)y = F(x) where it has m3 – 3m? + 3m + 7 = 0 as characteristic equation, if it is known that the solution of said equation is y = y. + xe-* +x² , then with all certainty it is true that: a) F(x)= 12e¯* Ob) F(x) Oc) F(x) 6x + 6 = xe z = re =12e * 7x2 6x+ 6 O d) F(x) = 12e * 7x2
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