dy а) dx dy b) dx х — у 1 у — х dy —у + 10 d) dx dy 1 с) (х + 1) 2 dx x(х — у) || ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 23E
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Question

Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations can be of more than one kind. Do not solve them

dy
a)
dx
dy
b)
dx
х — у
1
у — х
dy
dy
1
c)
(x + 1)% 3D -у + 10 d)
dx
dx x(х — у)
dy_ y² + y
e)
dx
dy
f)
dx
5y + y?
х + х
dy
g) ydx 3 (у — ху?) dy
h) x-
dx
yely – x
-
i) хуу' + у? — 2х
j) 2.xy y' + y? = 2x?
k) ydx + xdу %3D 0
2y
| dx = (3 – In x²) dy
I)
L dy
x² dx
dy
+ 1
у х
+ e2x'+y³ = 0
m)
dx
n)
+
+
||
||
Transcribed Image Text:dy a) dx dy b) dx х — у 1 у — х dy dy 1 c) (x + 1)% 3D -у + 10 d) dx dx x(х — у) dy_ y² + y e) dx dy f) dx 5y + y? х + х dy g) ydx 3 (у — ху?) dy h) x- dx yely – x - i) хуу' + у? — 2х j) 2.xy y' + y? = 2x? k) ydx + xdу %3D 0 2y | dx = (3 – In x²) dy I) L dy x² dx dy + 1 у х + e2x'+y³ = 0 m) dx n) + + || ||
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