4.3.1 $y^{\prime }(x)=ax+b\sqrt{y(x)}$
4.3.2 $x^3+y^{\prime }(x)=x\sqrt{x^4+4y(x)}$
4.3.3 $y^{\prime }(x)+2(1-x\sqrt{y(x)})y(x)=0$
4.3.4 $y^{\prime }(x)=\sqrt{a+by(x{)}^2}$
4.3.5 $y^{\prime }(x)=y(x)\sqrt{a+by(x)}$
4.3.6 $g(x)(f(x)-y(x))\sqrt{(y(x)-a)(y(x)-b)}+y^{\prime }(x)=0$
4.3.7 $y^{\prime }(x)=\sqrt{XY}$
4.3.8 $y^{\prime }(x)=\text{R1}(x,\sqrt{X})\text{R2}(y(x),\sqrt{Y})$
4.3.9 $y^{\prime }(x)={\cos }^2(x)\cos (y(x))$
4.3.10 $y^{\prime }(x)={\sec }^2(x)\text{Cosy}(y(x))\cot (y(x))$
4.3.11 $y^{\prime }(x)=a+b\cos (Ax+By(x))$
4.3.12 $y^{\prime }(x)=-(1-f^{\prime }(x))\cos (y(x))+f^{\prime }(x)-f(x)\sin (y(x))+1$
4.3.13 $g(x)\sin (ay(x))+h(x)\cos (ay(x))+f(x)+y^{\prime }(x)=0$
4.3.14 $y^{\prime }(x)=a+b\cos (y(x))$
4.3.15 $x(\sin (2y(x))-x^2{\cos }^2(y(x)))+y^{\prime }(x)=0$
4.3.16 $y^{\prime }(x)+\tan (x)\sec (x){\cos }^2(y(x))=0$
4.3.17 $y^{\prime }(x)=\cot (x)\cot (y(x))$
4.3.18 $y^{\prime }(x)+\cot (x)\cot (y(x))=0$
4.3.19 $y^{\prime }(x)=\sin (x)(\csc (y(x))-\cot (y(x)))$
4.3.20 $y^{\prime }(x)=\tan (x)\cot (y(x))$
4.3.21 $y^{\prime }(x)+\tan (x)\cot (y(x))=0$
4.3.22 $y^{\prime }(x)+\sin (2x)\csc (2y(x))=0$
4.3.23 $y^{\prime }(x)=\tan (x)(\tan (y(x))+\sec (x)\sec (y(x)))$
4.3.24 $y^{\prime }(x)=\cos (x){\sec }^2(y(x))$
4.3.25 $y^{\prime }(x)={\sec }^2(x){\sec }^3(y(x))$
4.3.26 $y^{\prime }(x)=a+b\sin (y(x))$
4.3.27 $y^{\prime }(x)=a+b\sin (Ax+By(x))$
4.3.28 $y^{\prime }(x)=\tan (y(x))(\cos (x)\sin (y(x))+1)$
4.3.29 $y^{\prime }(x)+\csc (2x)\sin (2y(x))=0$
4.3.30 $f(x)+g(x)\tan (y(x))+y^{\prime }(x)=0$
4.3.31 $y^{\prime }(x)=\sqrt{a+b\cos (y(x))}$
4.3.32 $y^{\prime }(x)=e^{y(x)}+x$
4.3.33 $y^{\prime }(x)=e^{y(x)+x}$
4.3.34 $y^{\prime }(x)=e^x(a+b{e}^{-y(x)})$
4.3.35 $y^{\prime }(x)+y(x)\log (x)\log (y(x))=0$
4.3.36 $y^{\prime }(x)=x^{m-1}y(x{)}^{1-n}f(a{x}^m+by(x{)}^n)$
4.3.37 $y^{\prime }(x)=af(y(x))$
4.3.38 $y^{\prime }(x)=f(a+bx+cy(x))$
4.3.39 $y^{\prime }(x)=f(x)g(y(x))$
4.3.40 $y^{\prime }(x)=\text{Csx}(x)y(x)\sec (x)+{\sec }^2(x)$
4.3.41 $2y^{\prime }(x)+2{\csc }^2(x)=y(x)\csc (x)\sec (x)-y(x{)}^2{\sec }^2(x)$
4.3.42 $2y^{\prime }(x)=2{\sin }^2(y(x))\tan (y(x))-x\sin (2y(x))$
4.3.43 $ax+2y^{\prime }(x)=\sqrt{a^2{x}^2-4b{x}^2-4cy(x)}$
4.3.44 $3y^{\prime }(x)=\sqrt{x^2-3y(x)}+x$
4.3.45 $x{y}^{\prime }(x)=\sqrt{a^2-x^2}$
4.3.46 $x{y}^{\prime }(x)+y(x)+x=0$
4.3.47 $x^2+x{y}^{\prime }(x)-y(x)=0$
4.3.48 $x{y}^{\prime }(x)=x^3-y(x)$
4.3.49 $x{y}^{\prime }(x)=x^3+y(x)+1$
4.3.50 $x{y}^{\prime }(x)=x^m+y(x)$