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

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

$$4xy-6+x^2{y}^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }-3y=12{\mathrm{e}}^{2x}$$

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

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

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

$$y^{\prime }=4y-\frac{16{\mathrm{e}}^{4x}}{y^2}$$

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

$$x{y}^2+(x^{2}y+10y^4)y^{\prime }=0$$

$$y{y}^{\prime }-x{y}^2=6x{\mathrm{e}}^{4x^2}$$

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

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

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

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

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

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

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

$$y^{\prime }={\mathrm{e}}^{4x+3y}$$

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

$$y^{\prime }={\mathrm{e}}^{4x+3y}$$

$$y^{\prime }=x(6y+{\mathrm{e}}^{x^2})$$

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

$$x^2{y}^{\prime }+3xy=6{\mathrm{e}}^{-x^2}$$

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

$$y^{\prime }+4y=0$$

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

$$y^{\prime }+3y=\mathrm{Heaviside}(t-4)$$

$$y^{\prime }=\mathrm{Heaviside}(t-3)$$

$$y^{\prime }=\mathrm{Heaviside}(t-3)$$

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & t <1 \ 1 & 1

$$y^{\prime }=3\delta (t-2)$$

$$y^{\prime }=\delta (t-2)-\delta (t-4)$$

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

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

$$y{y}^{\prime }+y^4=\sin \left(x\right)$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{x}{\sqrt{x^2-16}}$$

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

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

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

$$y^{\prime }=\frac{-2x-10}{(2+x)(x-4)}$$

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

$$y^{\prime }=\frac{\sqrt{x^2-16}}{x}$$

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

$$y^{\prime }=\frac{1}{x^2-16}$$

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

$$y^{\prime }=\sin {\left(x\right)}^3\tan \left(x\right)$$

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

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

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

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

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

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

$$y^{\prime }=\frac{(x-4)y^3}{x^3(y-2)}$$

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

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

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

$$y^{\prime }=\sin {\left(x\right)}^4$$

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

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

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

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

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

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

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

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