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] .. y+r) dya dx 6. +y²x dy dx = sin y, dy 7. dt = 1, dt dx= f(x), where dx° a(0y %3D d°y = y, 8. E-oa(x) [3xy' + xz" - yz = 0 y- z'+ y" 0 9. 10. (1 - x)y'- 4xy = cos x, d²y 11. x dx2 O + 4y = 0, |
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] .. y+r) dya dx 6. +y²x dy dx = sin y, dy 7. dt = 1, dt dx= f(x), where dx° a(0y %3D d°y = y, 8. E-oa(x) [3xy' + xz" - yz = 0 y- z'+ y" 0 9. 10. (1 - x)y'- 4xy = cos x, d²y 11. x dx2 O + 4y = 0, |
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
![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]
y +P
-- U.
0.
6.
y2x sin y,
%3D
dx
7.
dt
= 1,
dt
a@y
dx f(x), where
+xz" - yz = 0
d°y
= y,
8. Σ a, (x) ,
(3xy'
%3D
dx°
9.
y- z'+ y" = 0
10. (1 — х)у' — 4ху%3D сos x,
%3D
dzy
11. х
dx2
2) + 4y = 0,
dx.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15f45340-239a-40f2-b78d-93c1959aef62%2Fb25f2910-fdb2-4aab-8f6e-5ce9e12f7730%2Fs2vj87s_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]
y +P
-- U.
0.
6.
y2x sin y,
%3D
dx
7.
dt
= 1,
dt
a@y
dx f(x), where
+xz" - yz = 0
d°y
= y,
8. Σ a, (x) ,
(3xy'
%3D
dx°
9.
y- z'+ y" = 0
10. (1 — х)у' — 4ху%3D сos x,
%3D
dzy
11. х
dx2
2) + 4y = 0,
dx.
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