Classify the folowing ODEs as separable, exact, linear, homogeneous or Bernoulli. Some equations may be morethan one kind. dy da (i) y x (ii) . 2xyy' + y² = 2x². Ans. - + 2 + 1. Ans. (iii). dy=5y + y². Ans. dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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Classify the folowing ODEs as separable, exact, linear, homogeneous or Bernoulli. Some
equations may be morethan one kind.
dy
da
(i)
y x
(ii) . 2xyy' + y² = 2x². Ans.
-
+ 2 + 1. Ans.
(iii). dy=5y + y². Ans.
dx
Transcribed Image Text:Classify the folowing ODEs as separable, exact, linear, homogeneous or Bernoulli. Some equations may be morethan one kind. dy da (i) y x (ii) . 2xyy' + y² = 2x². Ans. - + 2 + 1. Ans. (iii). dy=5y + y². Ans. dx
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