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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x{y}^{\prime }=(1+\ln \left(x\right)-\ln \left(y\right))y$$

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

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

$$x{y}^{\prime }+ny=f\left(x\right)g\left(x^{n}y\right)$$

$$x{y}^{\prime }=yf\left(x^m{y}^n\right)$$

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

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

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

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

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

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

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

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

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

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

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

$$(x+a)y^{\prime }=b+cy$$

$$(x+a)y^{\prime }=bx+cy$$

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

$$(-x+a)y^{\prime }=y+(cx+b)y^3$$

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

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

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

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

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

$$2x{y}^{\prime }+4y+a+\sqrt{a^2-4b-4cy}=0$$

$$(-2x+1)y^{\prime }=16+32x-6y$$

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

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

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

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

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

$$3x{y}^{\prime }=(1+3x{y}^3\ln \left(x\right))y$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime }=a+b{x}^n+y^2{x}^2$$

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

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

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

$$x^2{y}^{\prime }=a+b{x}^n+c{x}^2{y}^2$$

$$x^2{y}^{\prime }=a+bxy+c{x}^2{y}^2$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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