1. Eliminate the arbitrary constant. y² = 4C(x + C) 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y = dx x+y

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.12: Solving Equations By Factoring
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1. Eliminate the arbitrary constant.
y² = 4C(x + C)
2. Obtain the general solution. (Let 2C=C)
(4x + xy²)dx + (y + x²y)dy = 0
3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C)
dy x-y
=
dx x+y
Transcribed Image Text:1. Eliminate the arbitrary constant. y² = 4C(x + C) 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y = dx x+y
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