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(x2 +y²)dx + xy dy = 0 r.

(x2 +y²)dx + xy dy = 0 r.

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 + y²)dx + xy dy = 0 reduces to A (2v2 - 1)dx – vx dv = 0 (B (1+2v)dx + vx dv = 0 O (1+2v2)dx + x dv = 0 D (2v2- 1)dx + vx dv = 0 E) None of the given Choices
Transcribed Image Text:Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2 + y²)dx + xy dy = 0 reduces to A (2v2 - 1)dx – vx dv = 0 (B (1+2v)dx + vx dv = 0 O (1+2v2)dx + x dv = 0 D (2v2- 1)dx + vx dv = 0 E) None of the given Choices
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