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

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

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

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

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

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

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

$$5xy-3y^3+(3x^2-7x{y}^2)y^{\prime }=0$$

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

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

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

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

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

$$2x+3y-1+(2x+3y-5)y^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

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

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

$$x^{\prime }+2x=t^2+4t+7$$

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

$$x^{\prime }=x(1-\frac{x}{4})$$

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

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

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

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

$$x^{\prime }=\frac{1}{t\ln \left(t\right)}$$

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

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

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

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

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

$$u^{\prime }=\frac{1}{5-2u}$$

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

$$Q^{\prime }=\frac{Q}{4+Q^2}$$

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

$$y^{\prime }=r(a-y)$$

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

$${\theta }^{\prime }=t\sqrt{t^2+1}\sec \left(\theta \right)$$

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

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

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

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

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

$$x^{\prime }={(4t-x)}^2$$

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

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

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

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

$$T^{\prime }=2at(T^2-a^2)$$

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

$$x^{\prime }=\frac{(4+2t)x}{\ln \left(x\right)}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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