coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44y+ 3 + 6x = 0, dx2 dx 3. ( + 5s*t3 = se2s, %3D dt3 azu(xy) azu(x.y)
coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44y+ 3 + 6x = 0, dx2 dx 3. ( + 5s*t3 = se2s, %3D dt3 azu(xy) azu(x.y)
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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![1. Classify the following differential equations as to ODE/PDE, order, degree, linearity,
coefficients type and homogeneity. State the independent variables and unknown functions.
[you can use a table]
1. ý + P(x)y = Q(x),
2. 4 + 3y + 6x = 0,
dx
dx2
3. )
+ 5s*t3 = se2s,
%3D
azu(x.y) a2u(x.y)
ду?
4.
= 0,
5. + 1]
[d?x
(A) - x²,
Lat2
dx
6.
dy
dx
7.
dt
+y2x = sin y,
= 1.
dt
8. Σai (x)
[3xy' + xz" - yz = 0
d@y
dx=f(x), where
d°y
= y,
%3D
dx°
9.
y - z' + y" = 0
10. (1 – x)y' - 4xy = cos x,
dzy
11. x
dx2
(9 + 4y = 0,
12. t*y(5) – ty" + 6y = 0,
dx.
d?u
13.
dr2
du
+u cos(r + 1),
dr
d²y
14.
dx2
1+ ( .
15. и хх + иуу
= 0,
d?R
16.
dt2
k
R2'
(cos 8)y' = 2 exp(y),
(1
17. (sin 0)y"
%3D
18. * -
* +x = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cd70032-ad4d-4c7a-b806-1ccdb1aa4d01%2F083f423e-a972-4d3a-be01-650d561da00e%2F201bugf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Classify the following differential equations as to ODE/PDE, order, degree, linearity,
coefficients type and homogeneity. State the independent variables and unknown functions.
[you can use a table]
1. ý + P(x)y = Q(x),
2. 4 + 3y + 6x = 0,
dx
dx2
3. )
+ 5s*t3 = se2s,
%3D
azu(x.y) a2u(x.y)
ду?
4.
= 0,
5. + 1]
[d?x
(A) - x²,
Lat2
dx
6.
dy
dx
7.
dt
+y2x = sin y,
= 1.
dt
8. Σai (x)
[3xy' + xz" - yz = 0
d@y
dx=f(x), where
d°y
= y,
%3D
dx°
9.
y - z' + y" = 0
10. (1 – x)y' - 4xy = cos x,
dzy
11. x
dx2
(9 + 4y = 0,
12. t*y(5) – ty" + 6y = 0,
dx.
d?u
13.
dr2
du
+u cos(r + 1),
dr
d²y
14.
dx2
1+ ( .
15. и хх + иуу
= 0,
d?R
16.
dt2
k
R2'
(cos 8)y' = 2 exp(y),
(1
17. (sin 0)y"
%3D
18. * -
* +x = 0.
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