Question 3 Give the form of a particular solution of y"" + 2y" +9y' +18y = 3e-4 + sin(3x) - 3x. (Hint: y = -2 is a root of the characteristic equation) a) z = Ae 4 + Bcos (3x) + C sin(3x) + D b) z = Axe 4²+ B cos(3x) + C sin (3x) + Da c) z = Ae ¹ + Bx cos(3x) + Ca sin(3x) + Dx d) z = Axe 4²+ Bæx cos(3x) + Ca sin(3x) + Dx + E e) z = Ae 4 + Bx cos(3x) + Ca sin(3x) + Dx + E f) None of the above.
Question 3 Give the form of a particular solution of y"" + 2y" +9y' +18y = 3e-4 + sin(3x) - 3x. (Hint: y = -2 is a root of the characteristic equation) a) z = Ae 4 + Bcos (3x) + C sin(3x) + D b) z = Axe 4²+ B cos(3x) + C sin (3x) + Da c) z = Ae ¹ + Bx cos(3x) + Ca sin(3x) + Dx d) z = Axe 4²+ Bæx cos(3x) + Ca sin(3x) + Dx + E e) z = Ae 4 + Bx cos(3x) + Ca 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
Q3
Transcribed Image Text:Question 3
Give the form of a particular solution of y"" + 2y" +9y' + 18y = 3e-4
y = -2 is a root of the characteristic equation)
a)
z = Ae-42
+ 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) + Ca sin(3x) + Dx
-4x
d)
z = Axe
+ Bx cos(3x) + Cx sin(3x) + Dx + E
e)
z = Ae-42
+ Bx cos(3x) + Ca sin(3x) + Dx + E
f)
None of the above.
+ sin(3x) 3x. (Hint:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
