4.6.1 $3x{y}^{\prime }(x)=y(x)(3xy(x{)}^3\log (x)+1)$
4.6.2 $x^2{y}^{\prime }(x)=a-y(x)$
4.6.3 $x^2{y}^{\prime }(x)=a+bx+c{x}^2+xy(x)$
4.6.4 $x^2{y}^{\prime }(x)=a+bx+c{x}^2-xy(x)$
4.6.5 $x^2{y}^{\prime }(x)+(1-2x)y(x)=x^2$
4.6.6 $x^2{y}^{\prime }(x)=a+bxy(x)$
4.6.7 $x^2{y}^{\prime }(x)=y(x)(a+bx)$
4.6.8 $x^2{y}^{\prime }(x)+(x+2)xy(x)=(1-e^{-2x})x-2$
4.6.9 $x^2{y}^{\prime }(x)+2(1-x)xy(x)=e^x(2e^x-1)$
4.6.10 $x^2{y}^{\prime }(x)+x^2+xy(x)+y(x{)}^2=0$
4.6.11 $x^2{y}^{\prime }(x)=(-y(x)+2x+1{)}^2$
4.6.12 $x^2{y}^{\prime }(x)=a+by(x{)}^2$
4.6.13 $x^2{y}^{\prime }(x)=y(x)(ay(x)+x)$
4.6.14 $x^2{y}^{\prime }(x)=y(x)(ax+by(x))$
4.6.15 $a{x}^2+bxy(x)+cy(x{)}^2+x^2{y}^{\prime }(x)=0$
4.6.16 $x^2{y}^{\prime }(x)=a+b{x}^n+x^{2}y(x{)}^2$
4.6.17 $x^2{y}^{\prime }(x)+xy(x)(xy(x)+4)+2=0$
4.6.18 $ax(1-xy(x))+x^2{y}^{\prime }(x)+x^2(-y(x{)}^2)+2=0$
4.6.19 $x^2{y}^{\prime }(x)=a+b{x}^{2}y(x{)}^2$
4.6.20 $x^2{y}^{\prime }(x)=a+b{x}^n+c{x}^{2}y(x{)}^2$
4.6.21 $x^2{y}^{\prime }(x)=a+bxy(x)+c{x}^{2}y(x{)}^2$
4.6.22 $x^2{y}^{\prime }(x)=a+bxy(x)+c{x}^{4}y(x{)}^2$
4.6.23 $x^2{y}^{\prime }(x)+y(x)(x^2+y(x{)}^2-x)=0$
4.6.24 $x^2{y}^{\prime }(x)=2y(x)(x-y(x{)}^2)$
4.6.25 $x^2{y}^{\prime }(x)=a{x}^{2}y(x{)}^2-ay(x{)}^3$
4.6.26 $ay(x{)}^2+b{x}^{2}y(x{)}^3+x^2{y}^{\prime }(x)=0$
4.6.27 $x^2{y}^{\prime }(x)=y(x)(ax+by(x{)}^3)$
4.6.28 $x^2{y}^{\prime }(x)+xy(x)+\sqrt{y(x)}=0$
4.6.29 $x^2{y}^{\prime }(x)=3x\tan (y(x))+\sec (y(x))$
4.6.30 $(1-x^2)y^{\prime }(x)=-x^2+y(x)+1$
4.6.31 $(1-x^2)y^{\prime }(x)+1=xy(x)$
4.6.32 $(1-x^2)y^{\prime }(x)=5-xy(x)$
4.6.33 $a+(x^2+1)y^{\prime }(x)+xy(x)=0$
4.6.34 $a+(x^2+1)y^{\prime }(x)-xy(x)=0$
4.6.35 $a+(1-x^2)y^{\prime }(x)-xy(x)=0$
4.6.36 $(1-x^2)y^{\prime }(x)+xy(x)-x=0$
4.6.37 $(1-x^2)y^{\prime }(x)-x^2+xy(x)=0$
4.6.38 $(1-x^2)y^{\prime }(x)+x^2+xy(x)=0$
4.6.39 $(x^2+1)y^{\prime }(x)=x(x^2+1)-xy(x)$
4.6.40 $(x^2+1)y^{\prime }(x)=x(3x^2-y(x))$
4.6.41 $(1-x^2)y^{\prime }(x)+2xy(x)=0$
4.6.42 $(x^2+1)y^{\prime }(x)=2x(x-y(x))$
4.6.43 $(x^2+1)y^{\prime }(x)=2x{(x^2+1)}^2+2xy(x)$
4.6.44 $(1-x^2)y^{\prime }(x)+\cos (x)=2xy(x)$
4.6.45 $(x^2+1)y^{\prime }(x)=\tan (x)-2xy(x)$
4.6.46 $(1-x^2)y^{\prime }(x)=a+4xy(x)$
4.6.47 $(x^2+1)y^{\prime }(x)=y(x)(a+2bx)$
4.6.48 $(x^2+1)y^{\prime }(x)=y(x{)}^2+1$
4.6.49 $(1-x^2)y^{\prime }(x)=1-y(x{)}^2$
4.6.50 $(1-x^2)y^{\prime }(x)=1-(2x-y(x))y(x)$