Question 2 Give the form of a particular solution of y" - 8y' +16y=-2xe 5e4-2. -2z - a) z = = (Ar² + Br)e-2 + Cr²e4z +Dx b) z = (Az + B)e-2z+Ca²e¹z +Da+E c) z = Ae-2 + Brez + C d) z = (Ar + B)e-2z+Crez + D e) z = (Az + B)e-2 + C²e¹² + D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 62E
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Question 2
Give the form of a particular solution of y" -8y' + 16y=-2re
-2x
a)
z =
= (Ax² + Bx)e 2+Cx²e¹¹ +Dx
b)
z = (Ax + B)e-2 +Ca²e4z + Da + E
c)
z = Ae-2z+ Brez + C
d)
z = (Ax+B)e-2 +Cre+D
2z
e)
2=
= (Ax + B)e +Cx²e4z + D
5e4-2.
Transcribed Image Text:Question 2 Give the form of a particular solution of y" -8y' + 16y=-2re -2x a) z = = (Ax² + Bx)e 2+Cx²e¹¹ +Dx b) z = (Ax + B)e-2 +Ca²e4z + Da + E c) z = Ae-2z+ Brez + C d) z = (Ax+B)e-2 +Cre+D 2z e) 2= = (Ax + B)e +Cx²e4z + D 5e4-2.
f)
None of the above.
Transcribed Image Text:f) None of the above.
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