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

$$\frac{t{y}^{\prime }}{y}+1+\ln \left(y\right)=0$$

$$\cos \left(\theta \right)r^{\prime }-r\sin \left(\theta \right)+{\mathrm{e}}^{\theta }=0$$

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

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

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

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

$$y^{\prime }-4y=32x^2$$

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

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

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

$$t^3{y}^2+\frac{t^4{y}^{\prime }}{y^6}=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime }=x^3\sin \left(3x\right)+4$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$(x^2+1)y^{\prime }+3xy=5x$$

$$y^{\prime }+y\cot \left(x\right)=5{\mathrm{e}}^{\cos \left(x\right)}$$

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

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

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

$$3y-7x+7+(7y-3x+3)y^{\prime }=0$$

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

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

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

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

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

$$y^{\prime }+y\tan \left(x\right)=y^3\sec {\left(x\right)}^4$$

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

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

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

$$y^{\prime }-y\cot \left(x\right)=y^2\sec {\left(x\right)}^2$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$\frac{r\tan \left(\theta \right)r^{\prime }}{a^2-r^2}=1$$

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

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

$$y^{\prime }-5y=(-1+x)\sin \left(x\right)+(1+x)\cos \left(x\right)$$

$$y^{\prime }-5y=3{\mathrm{e}}^x-2x+1$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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