Function Type Differential Operator AxN + BxN-1 + .+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D2 + B2) AxNeax cos(Bx) ((D - a)? + B2)N*1 AxNeaxsin(Bx) Given the differential equation y" + 4y' = 5x³ sin(– 7x) Find the Differential Operator for the Right Side of the differential equation. A (D² - 49)4 B ((D-1)2+ 49)2 (D? + 49)4 (D2 - 49) ED(D + 4)

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

Function Type
Differential Operator
...
AxN + BxN-1 + .. +C
DN+1
AxNeax
(D – a)N+1
cos(Bx) or sin(Bx)
(D? + B2)
AxNeax cos(Bx)
((D - a)? + B2)N*1
AxNeax sin(Bx)
Given the differential equation
y" + 4y' = 5x3 sin( – 7x)
Find the Differential Operator for the Right Side of the differential equation.
(A
(D2 - 49)4
B
((D - 1)2 + 49)2
(D? + 49)4
(D2 - 49)
E D (D + 4)
Transcribed Image Text:Function Type Differential Operator ... AxN + BxN-1 + .. +C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D? + B2) AxNeax cos(Bx) ((D - a)? + B2)N*1 AxNeax sin(Bx) Given the differential equation y" + 4y' = 5x3 sin( – 7x) Find the Differential Operator for the Right Side of the differential equation. (A (D2 - 49)4 B ((D - 1)2 + 49)2 (D? + 49)4 (D2 - 49) E D (D + 4)
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