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4.18 Problems 851 to 900

4.18.1 xy′(x)2+y′(x)=y(x)
4.18.2 xy′(x)2+2y′(x)−y(x)=0
4.18.3 xy′(x)2−2y′(x)−y(x)=0
4.18.4 xy′(x)2+4y′(x)−2y(x)=0
4.18.5 xy′(x)2+xy′(x)−y(x)=0
4.18.6 −(x2+1)y′(x)+xy′(x)2+x=0
4.18.7 a+xy′(x)2+y(x)y′(x)=0
4.18.8 a+xy′(x)2−y(x)y′(x)=0
4.18.9 ax+xy′(x)2−y(x)y′(x)=0
4.18.10 −x2+xy′(x)2+y(x)y′(x)=0
4.18.11 x3+xy′(x)2+y(x)y′(x)=0
4.18.12 ay(x)+xy′(x)2−y(x)y′(x)=0
4.18.13 y(x)y′(x)+xy′(x)2−y(x)4=0
4.18.14 (a−y(x))y′(x)+b+xy′(x)2=0
4.18.15 xy′(x)2+(x−y(x))y′(x)−y(x)+1=0
4.18.16 (a−y(x)+x)y′(x)+xy′(x)2−y(x)=0
4.18.17 xy′(x)2−(3x−y(x))y′(x)+y(x)=0
4.18.18 a−by(x)+bx+xy′(x)2−y(x)=0
4.18.19 a+xy′(x)2−2y(x)y′(x)=0
4.18.20 xy′(x)2+2y(x)y′(x)−x=0
4.18.21 ax+xy′(x)2−2y(x)y′(x)=0
4.18.22 xy′(x)2−2y(x)y′(x)+2y(x)+x=0
4.18.23 9x2+xy′(x)2−3y(x)y′(x)=0
4.18.24 xy′(x)2−(3y(x)+2x)y′(x)+6y(x)=0
4.18.25 −ay(x)y′(x)+b+xy′(x)2=0
4.18.26 ay(x)y′(x)+bx+xy′(x)2=0
4.18.27 xy′(x)2−(xy(x)+1)y′(x)+y(x)=0
4.18.28 (1−x)y(x)y′(x)+xy′(x)2−y(x)2=0
4.18.29 (1−x2y(x))y′(x)+xy′(x)2−xy(x)=0
4.18.30 (x+1)y′(x)2=y(x)
4.18.31 (x+1)y′(x)2−(y(x)+x)y′(x)+y(x)=0
4.18.32 (a−x)y′(x)2−b+y(x)y′(x)=0
4.18.33 (a+x)y′(x)2+y′(x)(a1+b1x+c1y(x))+a2+b2x+c2y(x)=0
4.18.34 2xy′(x)2+(2x−y(x))y′(x)−y(x)+1=0
4.18.35 3xy′(x)2−6y(x)y′(x)+2y(x)+x=0
4.18.36 (3x+1)y′(x)2−3(y(x)+2)y′(x)+9=0
4.18.37 (3x+5)y′(x)2−(3y(x)+3)y′(x)+y(x)=0
4.18.38 4xy′(x)2=(a−3x)2
4.18.39 4xy′(x)2+2xy′(x)−y(x)=0
4.18.40 4xy′(x)2−3y(x)y′(x)+3=0
4.18.41 4xy′(x)2+4y(x)y′(x)=1
4.18.42 4y(x)y′(x)+4xy′(x)2−y(x)4=0
4.18.43 4(2−x)y′(x)2+1=0
4.18.44 8y(x)y′(x)+16xy′(x)2+y(x)6=0
4.18.45 x2y′(x)2=a2
4.18.46 x2y′(x)2=y(x)2
4.18.47 x2y′(x)2+x2−y(x)2=0
4.18.48 x2y′(x)2=(x−y(x))2
4.18.49 x2y′(x)2−y(x)4+y(x)2=0
4.18.50 x2y′(x)2−xy′(x)+(1−y(x))y(x)=0

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