$$y^{\prime \prime }+9y=x^2{\mathrm{e}}^{3x}$$

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

$$y^{\prime \prime }+i{y}^{\prime }+2y=2\cosh \left(2x\right)+{\mathrm{e}}^{-2x}$$

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

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

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

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

$${(3x-1)}^2{y}^{\prime \prime }+(9x-3)y^{\prime }-9y=0$$

$$x^2{y}^{\prime \prime }-7x{y}^{\prime }+15y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }-5x{y}^{\prime }+9y=x^2$$

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

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

$$x^2{y}^{\prime \prime }-3x{y}^{\prime }+5y=0$$

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

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

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

$$3x^2{y}^{\prime \prime }+x^6{y}^{\prime }+2xy=0$$

$$x^2{y}^{\prime \prime }-5y^{\prime }+3x^{2}y=0$$

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

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

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

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

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

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

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

$$3x^2{y}^{\prime \prime }+5x{y}^{\prime }+3xy=0$$

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

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

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

$$4x^2{y}^{\prime \prime }-4x{\mathrm{e}}^x{y}^{\prime }+3\cos \left(x\right)y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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