Consider the ODE below. x°y" + a?y" – 6xy' + 6y = ? + a? Show complete solution and determine the following: a. Characteristic equation b. Complementary solution c. Particular solution, using method of variation of parameters (MVP) d. General solution
Consider the ODE below. x°y" + a?y" – 6xy' + 6y = ? + a? Show complete solution and determine the following: a. Characteristic equation b. Complementary solution c. Particular solution, using method of variation of parameters (MVP) d. General solution
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...
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Hi! Please answer letter C with complete solutions. Answers for letters A, B, and D can be found on the other picture.
![ニ
Geneeal Saluticn:
we
kmew theat
we
こ
put
I = e > =1ogx
integral
Yo to pasticue
xy' =
%3D
x3 yll =
Yp =
(o-1)(の+)(-3)
then
Aut
ఏ
-2
%3D
2-1) (Q+d] ( & - 3)
ez
(-1-25 (-1+8)(-1-3)
Charucter st'c
Equation.
Gmt 6]
M -
ニ 0
ニ
-4)
M (M-L) (-a) +meM-
e
Yp =
(M-1) Ī me- an + M-6 7
ニ
(n-1) [ mo-m-6] -0
a legse
e
- logx
9- W
Yocay =
(M- )(パ-3h+ an-6)=0
(m-1) (M+ Q) (^-3)=0
yprxy =
complementory
Salution.
Salution.
Then finally
are
ヘ= 1,- &,
3.
8o root
-&し
cie +
Ca e
yrxy =
then
ci egx + ca ē alage
C, OC +
yex) =
Ye =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcaa3ce30-2b92-4513-81ad-f50e342acc59%2Fb34a0cbf-f730-4da0-8dd3-e67dc048e747%2Foj26yjc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ニ
Geneeal Saluticn:
we
kmew theat
we
こ
put
I = e > =1ogx
integral
Yo to pasticue
xy' =
%3D
x3 yll =
Yp =
(o-1)(の+)(-3)
then
Aut
ఏ
-2
%3D
2-1) (Q+d] ( & - 3)
ez
(-1-25 (-1+8)(-1-3)
Charucter st'c
Equation.
Gmt 6]
M -
ニ 0
ニ
-4)
M (M-L) (-a) +meM-
e
Yp =
(M-1) Ī me- an + M-6 7
ニ
(n-1) [ mo-m-6] -0
a legse
e
- logx
9- W
Yocay =
(M- )(パ-3h+ an-6)=0
(m-1) (M+ Q) (^-3)=0
yprxy =
complementory
Salution.
Salution.
Then finally
are
ヘ= 1,- &,
3.
8o root
-&し
cie +
Ca e
yrxy =
then
ci egx + ca ē alage
C, OC +
yex) =
Ye =
Transcribed Image Text:Consider the ODE below.
2³ y" + a?y" – 6xy' + 6y = ? + 2²
Show complete solution and determine the following:
a. Characteristic equation
b. Complementary solution
c. Particular solution, using method of variation of parameters (MVP)
d. General solution
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