Some sixth order homogeneous linear differential equation with constant coefficients has the following characteristic equation (F+4r+4Xr-r-6Xr-2r+10) =0. What is the general solution of that sith order differential equation? Your answer: +Ge"cos3x)+ce'sin(3x) +c,e+c'cos3x) +c,e'sin(3x) o Yx=c+exe+c,+c,e+c"cos(3x)+ce"sinax) +G"cos3x)+se"sin3x) O None of the above

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...
icon
Related questions
Question
Some sixth order homogeneous linear differential equation with constant coefficients has the following characteristic equation:
(F+4r+4r-r-6Xr-2r+10) = 0.
What is the general solution of that sixth order differential equation?
Your answer:
+e"cosax) +ce'sin(3x)
re+ce"cos(3x)+,e'sin(3x)
+4 "cos(3x) +ee"sin(3x)
+Ge "cos(3x) +e"sin(3x)
O None of the above
Transcribed Image Text:Some sixth order homogeneous linear differential equation with constant coefficients has the following characteristic equation: (F+4r+4r-r-6Xr-2r+10) = 0. What is the general solution of that sixth order differential equation? Your answer: +e"cosax) +ce'sin(3x) re+ce"cos(3x)+,e'sin(3x) +4 "cos(3x) +ee"sin(3x) +Ge "cos(3x) +e"sin(3x) O None of the above
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning