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

$$y^{\prime }=3y+{\mathrm{e}}^{7t}$$

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

$$y^{\prime }=-5y+\sin \left(3t\right)$$

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

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

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

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

$$x^{\prime }=-tx$$

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

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

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

$$y^{\prime }+5y=3{\mathrm{e}}^{-5t}$$

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

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

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

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

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

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

$$y^{\prime }=(y-2)(y+1-\cos \left(t\right))$$

$$y^{\prime }=(y-1)(y-2)(y-{\mathrm{e}}^{\frac{t}{2}})$$

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

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

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

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

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

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

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

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

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

$$y^{\prime }=20{\mathrm{e}}^{-4x}$$

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

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

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

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

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

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

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

$$y^{\prime }=40{\mathrm{e}}^{2x}x$$

$${(x+6)}^{\frac{1}{3}}{y}^{\prime }=1$$

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{x}{\sqrt{x^2+5}}$$

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

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

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

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

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

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

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

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

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

$$y^{\prime }-y^3=8$$

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

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

$$y^3-25y+y^{\prime }=0$$

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

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

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

$$y^{\prime }+(8-x)y-y^2=-8x$$

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

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

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

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

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

$$y^{\prime }+4y=8$$

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

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

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

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

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

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

$$y^{\prime }=y^2+9$$

$$xy{y}^{\prime }=y^2+9$$

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=200y-2y^2$$

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

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

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