Question 2 Let x = vy, where v is an arbitrary function of y. Using this substitution in solving the differential equation xydx - (x+2y) ²dy = 0, which of the following is the transformed differential equation in simplest form? A v²dy+vydv-(v + 2)²dy=0 B There is no correct answer from among the given choices. D vydv-4(v+1) dy=0 vydv + (2v²-4v-4) dy=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 2
Let x = vy, where v is an arbitrary function of y. Using this substitution in solving the differential equation xydx- (x+2y) ²dy = 0,
which of the following is the transformed differential equation in simplest form?
A
v²dy+vydv-(v+2) ²dy=0
B There is no correct answer from among the given choices.
vydv - 4 (v + 1) dy=0
D vydv+(2v²-4v-4) dy=0
Transcribed Image Text:Question 2 Let x = vy, where v is an arbitrary function of y. Using this substitution in solving the differential equation xydx- (x+2y) ²dy = 0, which of the following is the transformed differential equation in simplest form? A v²dy+vydv-(v+2) ²dy=0 B There is no correct answer from among the given choices. vydv - 4 (v + 1) dy=0 D vydv+(2v²-4v-4) dy=0
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