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Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2+y)dx+xy dy = O reduces to A (1 +2v)dx + x dv = 0 B (2v2 – 1)dx – vx dv = 0 (©) (2v²-1)dx + vx dv = 0 (1+2v)dx+ vx dv = 0

Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2+y)dx+xy dy = O reduces to A (1 +2v)dx + x dv = 0 B (2v2 – 1)dx – vx dv = 0 (©) (2v²-1)dx + vx dv = 0 (1+2v)dx+ vx dv = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2+y)dx+xy dy = 0 reduces to (A (1+2v)dx + x dv = 0 B (2v2 - 1)dx – vx dv = 0 (2 v2 – 1)dx + vx dv = 0 D (1 +2v)dx + vx dv = 0
Transcribed Image Text:Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2+y)dx+xy dy = 0 reduces to (A (1+2v)dx + x dv = 0 B (2v2 - 1)dx – vx dv = 0 (2 v2 – 1)dx + vx dv = 0 D (1 +2v)dx + vx dv = 0
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