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

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

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

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

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

$$5xy+2y+5+2x{y}^{\prime }=0$$

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

$$27x{y}^2+8y^3+(18x^{2}y+12x{y}^2)y^{\prime }=0$$

$$6x{y}^2+2y+(12x^{2}y+12x{y}^2)y^{\prime }=0$$

$$y^2+(x{y}^2+6xy+\frac{1}{y})y^{\prime }=0$$

$$12x^{3}y+24y^2{x}^2+(9x^4+32x^{3}y+4y)y^{\prime }=0$$

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

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

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

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

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

$$ay+bxy+(cx+dxy)y^{\prime }=0$$

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

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

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

$$x^4{y}^4+x^5{y}^3{y}^{\prime }=0$$

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

$$x^4{y}^3+y+(x^5{y}^2-x)y^{\prime }=0$$

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

$$12xy+6y^3+(9x^2+10x{y}^2)y^{\prime }=0$$

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

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

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

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

$$y^{\prime }+y^2+8y+7=0$$

$$y^{\prime }+y^2+14y+50=0$$

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

$$36y^{\prime }+36y^2-12y+1=0$$

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

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

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

$$(3x-1)(y^{\prime }+y^2)-(2+3x)y-6x+8=0$$

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

$$x^2(y^{\prime }+y^2)-7xy+7=0$$

$$y^{\prime }+\sin \left(t\right)y=0$$

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

$$y^{\prime }-2ty=t$$

$$y^{\prime }+2ty=t$$

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

$$\cos \left(t\right)y+y^{\prime }=0$$

$$\sqrt{t}\sin \left(t\right)y+y^{\prime }=0$$

$$\frac{2ty}{t^2+1}+y^{\prime }=\frac{1}{t^2+1}$$

$$y+y^{\prime }=t{\mathrm{e}}^t$$

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

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

$$\frac{ty}{t^2+1}+y^{\prime }=1-\frac{t^{3}y}{t^4+1}$$

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

$$\sqrt{t^2+1}y{\mathrm{e}}^{-t}+y^{\prime }=0$$

$$y^{\prime }-2ty=t$$

$$ty+y^{\prime }=t+1$$

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

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

$$ty+(t^2+1)y^{\prime }={(t^2+1)}^{\frac{5}{2}}$$

$$4ty+(t^2+1)y^{\prime }=t$$

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

$$y^{\prime }+\frac{y}{\sqrt{t}}={\mathrm{e}}^{\frac{\sqrt{t}}{2}}$$

$$\frac{y}{t}+y^{\prime }=\cos \left(t\right)+\frac{\sin \left(t\right)}{t}$$

$$y^{\prime }+\tan \left(t\right)y=\cos \left(t\right)\sin \left(t\right)$$

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

$$y^{\prime }=(t+1)(1+y)$$

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

$$y^{\prime }={\mathrm{e}}^{3+t+y}$$

$$\cos \left(y\right)\sin \left(t\right)y^{\prime }=\cos \left(t\right)\sin \left(y\right)$$

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

$$y^{\prime }=\frac{2t}{y+t^{2}y}$$

$$\sqrt{t^2+1}{y}^{\prime }=\frac{t{y}^3}{\sqrt{t^2+1}}$$

$$y^{\prime }=\frac{3t^2+4t+2}{-2+2y}$$

$$\cos \left(y\right)y^{\prime }=-\frac{t\sin \left(y\right)}{t^2+1}$$

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

$$3t{y}^{\prime }=\cos \left(t\right)y$$

$$t{y}^{\prime }=y+\sqrt{t^2+y^2}$$

$$2ty{y}^{\prime }=3y^2-t^2$$

$$(t-\sqrt{ty})y^{\prime }=y$$

$$y^{\prime }=\frac{t+y}{t-y}$$

$${\mathrm{e}}^{\frac{t}{y}}(-t+y)y^{\prime }+y(1+{\mathrm{e}}^{\frac{t}{y}})=0$$

$$y^{\prime }=\frac{t+y+1}{t-y+3}$$

$$1+t-2y+(4t-3y-6)y^{\prime }=0$$

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

$$2t\sin \left(y\right)+{\mathrm{e}}^t{y}^3+(t^2\cos \left(y\right)+3{\mathrm{e}}^t{y}^2)y^{\prime }=0$$

$$1+{\mathrm{e}}^{ty}(1+ty)+(1+{\mathrm{e}}^{ty}{t}^2)y^{\prime }=0$$

$$\sec \left(t\right)\tan \left(t\right)+\sec {\left(t\right)}^{2}y+(\tan \left(t\right)+2y)y^{\prime }=0$$

$$\frac{y^2}{2}-2{\mathrm{e}}^{t}y+(-{\mathrm{e}}^t+y)y^{\prime }=0$$

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

$$2t\cos \left(y\right)+3t^{2}y+(t^3-t^2\sin \left(y\right)-y)y^{\prime }=0$$

$$3t^2+4ty+(2t^2+2y)y^{\prime }=0$$

$$2t-2{\mathrm{e}}^{ty}\sin \left(2t\right)+{\mathrm{e}}^{ty}\cos \left(2t\right)y+(-3+{\mathrm{e}}^{ty}t\cos \left(2t\right))y^{\prime }=0$$

$$3ty+y^2+(t^2+ty)y^{\prime }=0$$

$$y^{\prime }=y^2+\cos \left(t^2\right)$$

$$y^{\prime }=1+y+y^2\cos \left(t\right)$$

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

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

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

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

$$y^{\prime }=y+{\mathrm{e}}^{-y}+{\mathrm{e}}^{-t}$$

$$y^{\prime }=y^3+{\mathrm{e}}^{-5t}$$