Consider the DE x³y' + 8x²yy' + 4xy²y³ = 0. Making the substitution v = y/x in the DE yields 1 + 8v 123 :) (v + xdv) = 1. 4122

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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Is this true or false

Consider the DE
x³y' + 8x²yy' + 4xy² − y³ = 0.
Making the
substitution v = y/x
in the DE yields
1 8v
xdvy
(₂³² +4₂²) (v + xd²) = :
1.
Transcribed Image Text:Consider the DE x³y' + 8x²yy' + 4xy² − y³ = 0. Making the substitution v = y/x in the DE yields 1 8v xdvy (₂³² +4₂²) (v + xd²) = : 1.
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We need to write that the equation obtained after substitution is true or false.

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