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

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

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

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

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

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

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

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

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

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

$$y^{\prime }+5y=2$$

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

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

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

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

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

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

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

$$L{y}^{\prime }+Ry=E$$

$$L{y}^{\prime }+Ry=E\sin \left(\omega x\right)$$

$$L{y}^{\prime }+Ry=E{\mathrm{e}}^{i\omega x}$$

$$y^{\prime }+ay=b\left(x\right)$$

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

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

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

$$y^{\prime }-y\tan \left(x\right)={\mathrm{e}}^{\sin \left(x\right)}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }={\mathrm{e}}^{3x}-x$$

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

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

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

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

$$x{y}^{\prime }=1$$

$$y^{\prime }=\arcsin \left(x\right)$$

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

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

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

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

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

$$y^{\prime }=\ln \left(x\right)$$

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

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

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

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

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

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

$$y^{\prime }=4xy$$

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

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

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

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

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

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

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

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