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

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

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

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

$$-y+x{y}^{\prime }=\sqrt{9x^2+y^2}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }-\frac{y}{x}=\frac{4x^2\cos \left(x\right)}{y}$$

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

$$y^{\prime }-\frac{3y}{2x}=6y^{\frac{1}{3}}{x}^2\ln \left(x\right)$$

$$y^{\prime }+\frac{2y}{x}=6\sqrt{x^2+1}\sqrt{y}$$

$$y^{\prime }+\frac{2y}{x}=6x^4{y}^2$$

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

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

$$y^{\prime }+\frac{6y}{x}=\frac{3y^{\frac{2}{3}}\cos \left(x\right)}{x}$$

$$y^{\prime }+4xy=4x^3\sqrt{y}$$

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

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

$$2y^{\prime }+y\cot \left(x\right)=\frac{8\cos {\left(x\right)}^3}{y}$$

$$(1-\sqrt{3})y^{\prime }+y\sec \left(x\right)=y^{\sqrt{3}}\sec \left(x\right)$$

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

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

$$y^{\prime }={(9x-y)}^2$$

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

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

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

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

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

$$y^{\prime }+p\left(x\right)y+q\left(x\right)y^2=r\left(x\right)$$

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

$$y^{\prime }+\frac{7y}{x}-3y^2=\frac{3}{x^2}$$

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

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

$$\sec {\left(y\right)}^2{y}^{\prime }+\frac{\tan \left(y\right)}{2\sqrt{1+x}}=\frac{1}{2\sqrt{1+x}}$$

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }-2y=6{\mathrm{e}}^{5t}$$

$$y+y^{\prime }=8{\mathrm{e}}^{3t}$$

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

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

$$y^{\prime }-y=6\cos \left(t\right)$$

$$y^{\prime }-y=5\sin \left(2t\right)$$

$$y+y^{\prime }=5{\mathrm{e}}^t\sin \left(t\right)$$

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

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

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

$$y^{\prime }+2y=\mathrm{Heaviside}(t-\pi )\sin \left(2t\right)$$

$$y^{\prime }+3y=\{\begin{array}{cc}1& 0\le t<1\\ 0& 1\le t\end{array}$$

$$y^{\prime }-3y=\{\begin{array}{cc}\sin \left(t\right)& 0\le t<\frac{\pi }{2}\\ 1& \frac{\pi }{2}\le t\end{array}$$

$$y^{\prime }-3y=-10{\mathrm{e}}^{-t+a}\sin (-2t+2a)\mathrm{Heaviside}(t-a)$$

$$y^{\prime }-y=\{\begin{array}{cc}2& 0\le t<1\\ -1& 1\le t\end{array}$$

$$y^{\prime }-y=\{\begin{array}{cc}2& 0\le t<1\\ -1& 1\le t\end{array}$$

$$y+y^{\prime }=\delta (t-5)$$

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

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

$$y^{\prime }-5y=2{\mathrm{e}}^{-t}+\delta (t-3)$$

$$5xy+4y^2+1+(x^2+2xy)y^{\prime }=0$$

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

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

$$4x{y}^2+6y+(5x^{2}y+8x)y^{\prime }=0$$

$$5x+2y+1+(2x+y+1)y^{\prime }=0$$

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

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

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

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

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

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

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

$$y^{\prime }=1-x^5+\sqrt{x}$$

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

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

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

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

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

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

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

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