Find a homogeneous linear differential equation with constant coefficients (preferably in factored form) that is satisfied by the function y=x'e* +x sin2x. A) (D+3)'(D° +4)°y = 0 B) (D- 3)°(D² +4)°y=0 C) (D-3)'(D² - 4)°y= 0 D) (D+3)°(D² +4)°y=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. Find a homogeneous linear differential equation with constant coefficients (preferably in factored form)
that is satisfied by the function y= xr'e*+x sin2x.
A) (D+3)’(D² +4)°y = 0
B) (D- 3)°(D² +4)'y=0
C) (D-3)'(D² - 4)°y = 0
D) (D+3)°(D² +4)'y= 0
Transcribed Image Text:8. Find a homogeneous linear differential equation with constant coefficients (preferably in factored form) that is satisfied by the function y= xr'e*+x sin2x. A) (D+3)’(D² +4)°y = 0 B) (D- 3)°(D² +4)'y=0 C) (D-3)'(D² - 4)°y = 0 D) (D+3)°(D² +4)'y= 0
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