$$(x\sqrt{1+x^2+y^2}-y(x^2+y^2))y^{\prime }=x(x^2+y^2)+y\sqrt{1+x^2+y^2}$$

$$y^{\prime }\cos \left(y\right)(\cos \left(y\right)-\sin \left(A\right)\sin \left(x\right))+\cos \left(x\right)(\cos \left(x\right)-\sin \left(A\right)\sin \left(y\right))=0$$

$$(a\cos (bx+ay)-b\sin (ax+by))y^{\prime }+b\cos (bx+ay)-a\sin (ax+by)=0$$

$$(x+\cos \left(x\right)\sec \left(y\right))y^{\prime }+\tan \left(y\right)-y\sin \left(x\right)\sec \left(y\right)=0$$

$$(1+(x+y)\tan \left(y\right))y^{\prime }+1=0$$

$$x(x-y\tan \left(\frac{y}{x}\right))y^{\prime }+(x+y\tan \left(\frac{y}{x}\right))y=0$$

$$({\mathrm{e}}^x+x{\mathrm{e}}^y)y^{\prime }+{\mathrm{e}}^{x}y+{\mathrm{e}}^y=0$$

$$(1-2x-\ln \left(y\right))y^{\prime }+2y=0$$

$$(\sinh \left(x\right)+x\cosh \left(y\right))y^{\prime }+y\cosh \left(x\right)+\sinh \left(y\right)=0$$

$$y^{\prime }(1+\sinh \left(x\right))\sinh \left(y\right)+\cosh \left(x\right)(\cosh \left(y\right)-1)=0$$

$${y^{\prime }}^2=a{x}^n$$

$${y^{\prime }}^2=y$$

$${y^{\prime }}^2=x-y$$

$${y^{\prime }}^2=x^2+y$$

$${y^{\prime }}^2+x^2=4y$$

$${y^{\prime }}^2+3x^2=8y$$

$${y^{\prime }}^2+x^{2}a+by=0$$

$${y^{\prime }}^2=1+y^2$$

$${y^{\prime }}^2=1-y^2$$

$${y^{\prime }}^2=a^2-y^2$$

$${y^{\prime }}^2=a^2{y}^2$$

$${y^{\prime }}^2=a+b{y}^2$$

$${y^{\prime }}^2=y^2{x}^2$$

$${y^{\prime }}^2=(y-1)y^2$$

$${y^{\prime }}^2=(y-a)(y-b)(y-c)$$

$${y^{\prime }}^2=a^2{y}^n$$

$${y^{\prime }}^2=a^2(1-\ln {\left(y\right)}^2)y^2$$

$${y^{\prime }}^2+f\left(x\right)(y-a)(y-b)=0$$

$${y^{\prime }}^2+f\left(x\right){(y-a)}^2(y-b)=0$$

$${y^{\prime }}^2+f\left(x\right)(y-a)(y-b)(y-c)=0$$

$${y^{\prime }}^2+f\left(x\right){(y-a)}^2(y-b)(y-c)=0$$

$${y^{\prime }}^2=f{\left(x\right)}^2(y-a)(y-b){(y-c)}^2$$

$${y^{\prime }}^2=f{\left(x\right)}^2{(y-u\left(x\right))}^2(y-a)(y-b)$$

$${y^{\prime }}^2+2y^{\prime }+x=0$$

$${y^{\prime }}^2-2y^{\prime }+a(x-y)=0$$

$${y^{\prime }}^2-2y^{\prime }-y^2=0$$

$${y^{\prime }}^2-5y^{\prime }+6=0$$

$${y^{\prime }}^2-7y^{\prime }+12=0$$

$${y^{\prime }}^2+a{y}^{\prime }+b=0$$

$${y^{\prime }}^2+a{y}^{\prime }+bx=0$$

$${y^{\prime }}^2+a{y}^{\prime }+by=0$$

$${y^{\prime }}^2+x{y}^{\prime }+1=0$$

$${y^{\prime }}^2+x{y}^{\prime }-y=0$$

$${y^{\prime }}^2-x{y}^{\prime }+y=0$$

$${y^{\prime }}^2-x{y}^{\prime }-y=0$$

$${y^{\prime }}^2+x{y}^{\prime }+x-y=0$$

$${y^{\prime }}^2+(1-x)y^{\prime }+y=0$$

$${y^{\prime }}^2-(1+x)y^{\prime }+y=0$$

$${y^{\prime }}^2-(2-x)y^{\prime }+1-y=0$$

$${y^{\prime }}^2+(x+a)y^{\prime }-y=0$$

$${y^{\prime }}^2-2x{y}^{\prime }+1=0$$

$${y^{\prime }}^2+2x{y}^{\prime }-3x^2=0$$

$${y^{\prime }}^2+2x{y}^{\prime }-y=0$$

$${y^{\prime }}^2+2x{y}^{\prime }-y=0$$

$${y^{\prime }}^2-2x{y}^{\prime }+2y=0$$

$${y^{\prime }}^2-(2x+1)y^{\prime }-x(1-x)=0$$

$${y^{\prime }}^2+2(1-x)y^{\prime }-2x+2y=0$$

$${y^{\prime }}^2+3x{y}^{\prime }-y=0$$

$${y^{\prime }}^2-4(1+x)y^{\prime }+4y=0$$

$${y^{\prime }}^2+ax{y}^{\prime }=bc{x}^2$$

$${y^{\prime }}^2-ax{y}^{\prime }+ay=0$$

$${y^{\prime }}^2+ax{y}^{\prime }+b{x}^2+cy=0$$

$${y^{\prime }}^2+(bx+a)y^{\prime }+c=by$$

$${y^{\prime }}^2-2x^2{y}^{\prime }+2x{y}^{\prime }=0$$

$${y^{\prime }}^2+a{x}^3{y}^{\prime }-2a{x}^{2}y=0$$

$${y^{\prime }}^2-2a{x}^3{y}^{\prime }+4a{x}^{2}y=0$$

$${y^{\prime }}^2+4x^5{y}^{\prime }-12x^{4}y=0$$

$${y^{\prime }}^2-2y^{\prime }\cosh \left(x\right)+1=0$$

$${y^{\prime }}^2+y{y}^{\prime }=x(x+y)$$

$${y^{\prime }}^2-y{y}^{\prime }+{\mathrm{e}}^x=0$$

$${y^{\prime }}^2+(x+y)y^{\prime }+xy=0$$

$${y^{\prime }}^2-2y{y}^{\prime }-2x=0$$

$${y^{\prime }}^2+(1+2y)y^{\prime }+y(y-1)=0$$

$${y^{\prime }}^2-2(x-y)y^{\prime }-4xy=0$$

$${y^{\prime }}^2-(1+4y)y^{\prime }+(1+4y)y=0$$

$${y^{\prime }}^2-2(-3y+1)y^{\prime }-(4-9y)y=0$$

$${y^{\prime }}^2+(a+6y)y^{\prime }+y(3a+b+9y)=0$$

$${y^{\prime }}^2+ay{y}^{\prime }-ax=0$$

$${y^{\prime }}^2-ay{y}^{\prime }-ax=0$$

$${y^{\prime }}^2+(ax+by)y^{\prime }+abxy=0$$

$${y^{\prime }}^2-xy{y}^{\prime }+y^2\ln \left(ay\right)=0$$

$${y^{\prime }}^2-(2xy+1)y^{\prime }+2xy=0$$

$${y^{\prime }}^2-(4+y^2)y^{\prime }+4+y^2=0$$

$${y^{\prime }}^2-(x-y)y{y}^{\prime }-x{y}^3=0$$

$${y^{\prime }}^2+y^2{y}^{\prime }x+y^3=0$$

$${y^{\prime }}^2-2x^3{y}^2{y}^{\prime }-4x^2{y}^3=0$$

$${y^{\prime }}^2-xy(x^2+y^2)y^{\prime }+x^4{y}^4=0$$

$${y^{\prime }}^2+2y^3{y}^{\prime }x+y^4=0$$

$${y^{\prime }}^2+2y{y}^{\prime }\cot \left(x\right)-y^2=0$$

$${y^{\prime }}^2-3x{y}^{\frac{2}{3}}{y}^{\prime }+9y^{\frac{5}{3}}=0$$

$${y^{\prime }}^2={\mathrm{e}}^{4x-2y}(y^{\prime }-1)$$

$$2{y^{\prime }}^2+x{y}^{\prime }-2y=0$$

$$2{y^{\prime }}^2-(1-x)y^{\prime }-y=0$$

$$2{y^{\prime }}^2-2x^2{y}^{\prime }+3xy=0$$

$$2{y^{\prime }}^2+2(6y-1)y^{\prime }+3y(6y-1)=0$$

$$3{y^{\prime }}^2-2x{y}^{\prime }+y=0$$

$$3{y^{\prime }}^2+4x{y}^{\prime }+x^2-y=0$$

$$4{y^{\prime }}^2=9x$$

$$4{y^{\prime }}^2+2x{\mathrm{e}}^{-2y}{y}^{\prime }-{\mathrm{e}}^{-2y}=0$$

$$4{y^{\prime }}^2+2{\mathrm{e}}^{2x-2y}{y}^{\prime }-{\mathrm{e}}^{2x-2y}=0$$