on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent variable are on the Left Side and every term without a dependent variable is on the d'y dy + 7x + 11 y = 0 dt di? o, to be Non - Homogenous, the differential equation will not be equal to zero when all terms v eft Side and every term without a dependent variable is on the Right Side. y" + 7x y' + 1l y = 7x cos(3x) nd Order: To be considered 2nd Order, the highest derivative that a differential equation can h d'y dy + 7x + 11 y = 8 e dr? dt etermine which of the following Differential Equations would be considered Non - Homogenou ease note that there may be more than 1 correct answer, so select all that apply. A dy + 7x + 11 y = 8 e dt 5 di3 (B 5 y" + 7x + 3y = 6y' %3D
on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent variable are on the Left Side and every term without a dependent variable is on the d'y dy + 7x + 11 y = 0 dt di? o, to be Non - Homogenous, the differential equation will not be equal to zero when all terms v eft Side and every term without a dependent variable is on the Right Side. y" + 7x y' + 1l y = 7x cos(3x) nd Order: To be considered 2nd Order, the highest derivative that a differential equation can h d'y dy + 7x + 11 y = 8 e dr? dt etermine which of the following Differential Equations would be considered Non - Homogenou ease note that there may be more than 1 correct answer, so select all that apply. A dy + 7x + 11 y = 8 e dt 5 di3 (B 5 y" + 7x + 3y = 6y' %3D
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
Related questions
Question
q1
![Non - Homogenous: To be considered Homogenous, the differential equation must be equal to zero when all of the terms with a
dependent variable are on the Left Side and every term without a dependent variable is on the Right Side.
d?y
5
dr?
dy
+ 7x
+ 11 y = 0
dt
So, to be Non - Homogenous, the differential equation will not be equal to zero when all terms with a dependent variable are on the
Left Side and every term without a dependent variable is on the Right Side.
5 у" +
x y' + 11 y:
7x cos( 3x)
2nd Order: To be considered 2nd Order, the highest derivative that a differential equation can have is the 2nd derivative.
d'y
5
dt2
dy
+ 7x
+ 11 y = 8 ex
dt
Determine which of the following Differential Equations would be considered Non - Homogenous 2nd Order Differential Equations.
Please note that there may be more than 1 correct answer, so select all that apply.
d³y
5
di3
dy
+ 7x
+ 11 y = 8 ex
dt
A
|
B
5 y'" + 7x + Зу%3Dбу'
y" + 8y' - 16 y = 0
d?y
7
di2
dy
D)
бу
dt
E)
8 у" — 16 у %3D 4х3
d²y
512
di2
dy
4t
+ y = sin( 51)
dt
(F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F182b42c4-24fc-41d2-99b8-0c7035c2fc63%2Fb3e24467-5195-493e-a5a3-ced36f265cf7%2F0q7azsr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Non - Homogenous: To be considered Homogenous, the differential equation must be equal to zero when all of the terms with a
dependent variable are on the Left Side and every term without a dependent variable is on the Right Side.
d?y
5
dr?
dy
+ 7x
+ 11 y = 0
dt
So, to be Non - Homogenous, the differential equation will not be equal to zero when all terms with a dependent variable are on the
Left Side and every term without a dependent variable is on the Right Side.
5 у" +
x y' + 11 y:
7x cos( 3x)
2nd Order: To be considered 2nd Order, the highest derivative that a differential equation can have is the 2nd derivative.
d'y
5
dt2
dy
+ 7x
+ 11 y = 8 ex
dt
Determine which of the following Differential Equations would be considered Non - Homogenous 2nd Order Differential Equations.
Please note that there may be more than 1 correct answer, so select all that apply.
d³y
5
di3
dy
+ 7x
+ 11 y = 8 ex
dt
A
|
B
5 y'" + 7x + Зу%3Dбу'
y" + 8y' - 16 y = 0
d?y
7
di2
dy
D)
бу
dt
E)
8 у" — 16 у %3D 4х3
d²y
512
di2
dy
4t
+ y = sin( 51)
dt
(F
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