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4.19 Problems 901 to 950

4.19.1 a2+2axy′(x)−2ay(x)+x2y′(x)2+x2=0
4.19.2 x2y′(x)2−2xy(x)y′(x)+y(x)(y(x)+1)−x=0
4.19.3 −x4+x2y′(x)2+(1−x2)y(x)2−2xy(x)y′(x)=0
4.19.4 x2y′(x)2−(2xy(x)+1)y′(x)+y(x)2+1=0
4.19.5 −(a+2xy(x))y′(x)+x2y′(x)2+y(x)2=0
4.19.6 x2y′(x)2−x(x−2y(x))y′(x)+y(x)2=0
4.19.7 −4a+x2y′(x)2+2x(y(x)+2x)y′(x)+y(x)2=0
4.19.8 x(x3−2y(x))y′(x)−(2x3−y(x))y(x)+x2y′(x)2=0
4.19.9 x2y′(x)2+3xy(x)y′(x)+2y(x)2=0
4.19.10 x3+x2y′(x)2−3xy(x)y′(x)+2y(x)2=0
4.19.11 x2y′(x)2+4xy(x)y′(x)−5y(x)2=0
4.19.12 x2y′(x)2−4x(y(x)+2)y′(x)+4y(x)(y(x)+2)=0
4.19.13 x2y′(x)2−5xy(x)y′(x)+6y(x)2=0
4.19.14 x2y′(x)2+x(x2+xy(x)−2y(x))y′(x)+(1−x)(x2−y(x))y(x)=0
4.19.15 x2y′(x)2+(y(x)+2x)y(x)y′(x)+y(x)2=0
4.19.16 x2y′(x)2+(2x−y(x))y(x)y′(x)+y(x)2=0
4.19.17 y′(x)(a+bx2y(x)3)+aby(x)3+x2y′(x)2=0
4.19.18 (1−x2)y′(x)2=1−y(x)2
4.19.19 (1−x2)y′(x)2+4x2+2xy(x)y′(x)=0
4.19.20 (a2+x2)y′(x)2=b2
4.19.21 (a2−x2)y′(x)2+b2=0
4.19.22 (a2−x2)y′(x)2=b2
4.19.23 (a2−x2)y′(x)2=x2
4.19.24 (a2−x2)y′(x)2+x2+2xy(x)y′(x)=0
4.19.25 (a2−x2)y′(x)2−2xy(x)y′(x)−y(x)2=0
4.19.26 (a2+x2)y′(x)2+b−2xy(x)y′(x)+y(x)2=0
4.19.27 (2x2+1)y′(x)2+(x2+2xy(x)+y(x)2+2)y′(x)+2y(x)2+1=0
4.19.28 4x2y′(x)2−4xy(x)y′(x)=8x3−y(x)2
4.19.29 ax2y′(x)2+(1−a)ax2−2axy(x)y′(x)+y(x)2=0
4.19.30 (1−a2)x2y′(x)2−a2x2−2xy(x)y′(x)+y(x)2=0
4.19.31 x3y′(x)2=a
4.19.32 x3y′(x)2+xy′(x)−y(x)=0
4.19.33 a+x3y′(x)2+x2y(x)y′(x)=0
4.19.34 x3y′(x)2−(2x2y(x)+1)y′(x)+xy(x)2=0
4.19.35 x(1−x2)y′(x)2−2(1−x2)y(x)y′(x)+x(1−y(x)2)=0
4.19.36 4x(a−x)(b−x)y′(x)2=(−2x(a+b)+ab+2x2)2
4.19.37 x4y′(x)2−xy′(x)−y(x)=0
4.19.38 x4y′(x)2+2x3y(x)y′(x)−4=0
4.19.39 x4y′(x)2+xy(x)2y′(x)−y(x)3=0
4.19.40 x2(a2−x2)y′(x)2+1=0
4.19.41 3x4y′(x)2−xy(x)−y(x)=0
4.19.42 4x5y′(x)2+12x4y(x)y′(x)+9=0
4.19.43 x6y′(x)2−2xy′(x)−4y(x)=0
4.19.44 x8y′(x)2+3xy′(x)+9y(x)=0
4.19.45 y(x)y′(x)2=a
4.19.46 y(x)y′(x)2=a2x
4.19.47 y(x)y′(x)2=e2x
4.19.48 2axy′(x)−ay(x)+y(x)y′(x)2=0
4.19.49 −4a2xy′(x)+a2y(x)+y(x)y′(x)2=0
4.19.50 axy′(x)+by(x)+y(x)y′(x)2=0

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