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

$$y^{\prime }=(4y+{\mathrm{e}}^{-t^2}){\mathrm{e}}^{2y}$$

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

$$y^{\prime }=\frac{(1+\cos \left(4t\right))y}{4}-\frac{(1-\cos \left(4t\right))y^2}{800}$$

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

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

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

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

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

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

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

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

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

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

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

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

$$y+3+\cot \left(x\right)y^{\prime }=0$$

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

$$x^{\prime }=1-\sin \left(2t\right)$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$(x^2+x+1)y^{\prime }=y^2+2y+5$$

$$(x^2-2x-8)y^{\prime }=y^2+y-2$$

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

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

$$-y+x{y}^{\prime }=\sqrt{xy}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x{\mathrm{e}}^{\frac{y}{x}}+y=x{y}^{\prime }$$

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

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

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

$$y^{\prime }=\frac{y}{x-k\sqrt{x^2+y^2}}$$

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

$$y^{\prime }=\frac{y}{x}+\tanh \left(\frac{y}{x}\right)$$

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

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

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

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

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

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

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

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

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

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

$$3x-y+1+(x-3y-5)y^{\prime }=0$$

$$6x-3y+6+(2x-y+5)y^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

$$a_{1}x+b_{1}y+c_1+(b_{1}x+b_{2}y+c_2)y^{\prime }=0$$

$$x(6xy+5)+(2x^3+3y)y^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

$$y^2\csc {\left(x\right)}^2+6xy-2=(2y\cot \left(x\right)-3x^2)y^{\prime }$$

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

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

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

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

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