-4x Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e + sin(3x) - 3x. (Hint: y = -2 is a root of the characteristic equation) a) z = Ae-4x + B cos(3x) + C sin (3x) + D -4x b) z = Axe + B cos(3x) + C sin (3x) + Dx c) z = Ae-4 + Bx cos(3x) + Cx sin(3x) + Dx d) z = Axe 4x + Bx cos(3x) + Ca sin(3x) + Dx + E -4x e) z = Ae + Bx cos(3x) + Cx sin(3x) + Dx + E f) None of the above.
-4x Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e + sin(3x) - 3x. (Hint: y = -2 is a root of the characteristic equation) a) z = Ae-4x + B cos(3x) + C sin (3x) + D -4x b) z = Axe + B cos(3x) + C sin (3x) + Dx c) z = Ae-4 + Bx cos(3x) + Cx sin(3x) + Dx d) z = Axe 4x + Bx cos(3x) + Ca sin(3x) + Dx + E -4x e) z = Ae + Bx cos(3x) + Cx sin(3x) + Dx + E f) None of the above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I didn't think so the correct answer is this plz provide me exact answer plx
![Is a
Since sin (3x)
occurs on RHS of (1) and sin (3x)
Corresponding
to the Multiplicity
part of C. F
we
Choose
the
Particular Solution
is
42
+ BxcOS (3x) + cxsin (3x) + DX + E
one.
The
Z= Ae](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9179dca4-1382-4ca9-9da8-9e16fe6cba84%2F6abfeff4-91cd-476f-ae7b-7a4ed06102bd%2Fn7zzlzw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Is a
Since sin (3x)
occurs on RHS of (1) and sin (3x)
Corresponding
to the Multiplicity
part of C. F
we
Choose
the
Particular Solution
is
42
+ BxcOS (3x) + cxsin (3x) + DX + E
one.
The
Z= Ae
![Question 3
Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e-4x
y = -2 is a root of the characteristic equation)
a)
z = Ae-4x
+ B cos (3x) + C sin(3x) + D
b)
z = Axe-4 + B cos(3x) + C sin (3x) + Dx
c)
z = Ae 4x + Bx cos(3x) + Cx sin(3x) + Dx
d)
z = Axe 4x + Bx cos(3x) + Cx sin(3x) + Dx + E
e)
z = Ae-4x + Bx cos(3x) + Cx sin(3x) + Dx + E
f)
None of the above.
-sin(3x) - 3x. (Hint:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9179dca4-1382-4ca9-9da8-9e16fe6cba84%2F6abfeff4-91cd-476f-ae7b-7a4ed06102bd%2Fh7jhyif_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3
Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e-4x
y = -2 is a root of the characteristic equation)
a)
z = Ae-4x
+ B cos (3x) + C sin(3x) + D
b)
z = Axe-4 + B cos(3x) + C sin (3x) + Dx
c)
z = Ae 4x + Bx cos(3x) + Cx sin(3x) + Dx
d)
z = Axe 4x + Bx cos(3x) + Cx sin(3x) + Dx + E
e)
z = Ae-4x + Bx cos(3x) + Cx sin(3x) + Dx + E
f)
None of the above.
-sin(3x) - 3x. (Hint:
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