DEGREE

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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Determine the ORDER, DEGREE and LINEARITY of the following differential equations. 

Gez + at2)*+ y-
ORDER
DEGREE
LINEAR OR NON-
LINEAR
(x2 + y?)dx + 2xydy
d²y
+x2.
dx
dy
+ x²y = sinx
dx?
у" - Зу' + 2у %3D 0
a?u a?u
= 0
ax2 ' ay2 ' əz²
a?u
(x + y)dx + (3x² – 1)dy = 0
d?r.
d?r
dr
= 0
dt
dt2
x*y" + xy"
= e*
(y')2 – 3yy' + xy = 0
d?
t2.
dt2
ds
= 1-
dt
- sint
y' = -
Transcribed Image Text:Gez + at2)*+ y- ORDER DEGREE LINEAR OR NON- LINEAR (x2 + y?)dx + 2xydy d²y +x2. dx dy + x²y = sinx dx? у" - Зу' + 2у %3D 0 a?u a?u = 0 ax2 ' ay2 ' əz² a?u (x + y)dx + (3x² – 1)dy = 0 d?r. d?r dr = 0 dt dt2 x*y" + xy" = e* (y')2 – 3yy' + xy = 0 d? t2. dt2 ds = 1- dt - sint y' = -
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