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

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

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

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

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

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

$$x^2(-x^2+1)y^{\prime \prime }-5x{y}^{\prime }+9y=0$$

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

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

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

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

$$x^2(1-x)y^{\prime \prime }+x(1+x)y^{\prime }-9y=0$$

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

$$x^2{y}^{\prime \prime }+x(x-7)y^{\prime }+(x+12)y=0$$

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(x+12)y=x^2+x$$

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

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

$$9x^2{y}^{\prime \prime }+(2+3x)y=x^4+x^2$$

$$9x^2{y}^{\prime \prime }+10x{y}^{\prime }+y=-1+x$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{t}{\sqrt{t}+1}$$

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

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

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

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

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

$$y^{\prime }=8{\mathrm{e}}^{4t}+t$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{2ty}{t^2+1}+t+1$$

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

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

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

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

$$y^{\prime }=-y\tan \left(t\right)+\sec \left(t\right)$$

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

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

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

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

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

$$y^{\prime }=-\cot \left(t\right)y+6\cos {\left(t\right)}^2$$

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

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

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

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

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

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

$$(-x^2+1)y^{\prime }+4xy={(-x^2+1)}^{\frac{3}{2}}$$

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

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

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

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

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

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

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

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