$$x^{\prime }=6t{(x-1)}^{\frac{2}{3}}$$

$$x^{\prime }=\frac{4t^2+3x^2}{2tx}$$

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

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

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

$$x^{\prime }=2t^{3}x-6$$

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

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

$$7t^2{x}^{\prime }=3x-2t$$

$$x{x}^{\prime }=1-tx$$

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

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

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

$$x^{\prime }+2tx={\mathrm{e}}^{-t^2}$$

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

$${\theta }^{\prime }=-a\theta +{\mathrm{e}}^{bt}$$

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

$$x^{\prime }+\frac{5x}{t}=t+1$$

$$x^{\prime }=(a+\frac{b}{t})x$$

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

$$N^{\prime }=N-9{\mathrm{e}}^{-t}$$

$$\cos \left(\theta \right)v^{\prime }+v=3$$

$$R^{\prime }=\frac{R}{t}+t{\mathrm{e}}^{-t}$$

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

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

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

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

$$x^{\prime }=ax+b$$

$$x^{\prime }+p\left(t\right)x=0$$

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

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

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

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

$$x^{\prime }=ax+b{x}^3$$

$$w^{\prime }=tw+t^3{w}^3$$

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

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

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

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

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

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

$$x^{\prime }+5x=\mathrm{Heaviside}(t-2)$$

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

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

$$x^{\prime }+4x=\cos \left(2t\right)\mathrm{Heaviside}(2\pi -t)$$

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

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

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

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

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

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

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

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

$$y^{\prime }+2y=6{\mathrm{e}}^x+4{\mathrm{e}}^{-2x}x$$

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

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

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

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

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

$$y^{\prime }=y^{\frac{1}{3}}$$

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

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

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

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

$$6xy+2y^2-5+(3x^2+4xy-6)y^{\prime }=0$$

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

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

$$\frac{(2s-1)s^{\prime }}{t}+\frac{s-s^2}{t^2}=0$$

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

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

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

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

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

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

$$\frac{1+8x{y}^{\frac{2}{3}}}{x^{\frac{2}{3}}{y}^{\frac{1}{3}}}+\frac{(2x^{\frac{4}{3}}{y}^{\frac{2}{3}}-x^{\frac{1}{3}})y^{\prime }}{y^{\frac{4}{3}}}=0$$

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

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

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

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

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

$$2r(s^2+1)+(r^4+1)s^{\prime }=0$$

$$\csc \left(y\right)+\sec \left(x\right)y^{\prime }=0$$

$$\tan \left(\theta \right)+2r{\theta }^{\prime }=0$$

$$({\mathrm{e}}^v+1)\cos \left(u\right)+{\mathrm{e}}^v(1+\sin \left(u\right))v^{\prime }=0$$

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

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

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

$$v^3+(u^3-u{v}^2)v^{\prime }=0$$

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

$$(2s^2+2st+t^2)s^{\prime }+s^2+2st-t^2=0$$

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

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

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

$$8\cos {\left(y\right)}^2+\csc {\left(x\right)}^2{y}^{\prime }=0$$

$$(3x+8)(y^2+4)-4y(x^2+5x+6)y^{\prime }=0$$

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

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

$$3x^2+9xy+5y^2-(6x^2+4xy)y^{\prime }=0$$

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

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