+ 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 and R, = 2 Determine the General Form of the Particular Solution, and (2) Write the General Solution for the Particular Side of the ferential Equation. A y, = x² [ Ax3 + Bx? + Cx + D]e2r B y, = Ax3 + Bx2 + Cx + D C y, = [Ax³ + Bx2 + Cx + D]e2x y, =[ Ax? + Bx + c]cos(x) + [ Dx? + Ex + F]sin(x)
+ 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 and R, = 2 Determine the General Form of the Particular Solution, and (2) Write the General Solution for the Particular Side of the ferential Equation. A y, = x² [ Ax3 + Bx? + Cx + D]e2r B y, = Ax3 + Bx2 + Cx + D C y, = [Ax³ + Bx2 + Cx + D]e2x y, =[ Ax? + Bx + c]cos(x) + [ Dx? + Ex + F]sin(x)
Calculus: Early Transcendentals
8th Edition
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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q10
![Given the differential equation
y" + 4 y' - 12y = 4x3
And the Solutions to its Characteristic Equation
Characteristic Solutions: R, = -6 and R, = 2
(1) Determine the General Form of the Particular Solution, and (2) Write the General Solution for the Particular Side of the
Differential Equation.
A y, = x2 [ Ax + Bx? + Cx + D]e2x
B.
Ур
= Ax3 + Bx2 + Cx + D
Cyp [Ax3 + Bx2 + Cx + D]e2x
P.
D
y, =[ Ax? + Bx + c]cos(x) + [ Dx? + Ex + F] sin(x)
E
= Ax? + Bx + C
F
= Ax3
!!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94930702-fbcd-4244-b178-ebe011f78567%2F4ab3fd39-076a-493a-afaa-3a5c15f738e0%2F3vcb5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the differential equation
y" + 4 y' - 12y = 4x3
And the Solutions to its Characteristic Equation
Characteristic Solutions: R, = -6 and R, = 2
(1) Determine the General Form of the Particular Solution, and (2) Write the General Solution for the Particular Side of the
Differential Equation.
A y, = x2 [ Ax + Bx? + Cx + D]e2x
B.
Ур
= Ax3 + Bx2 + Cx + D
Cyp [Ax3 + Bx2 + Cx + D]e2x
P.
D
y, =[ Ax? + Bx + c]cos(x) + [ Dx? + Ex + F] sin(x)
E
= Ax? + Bx + C
F
= Ax3
!!
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