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

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

$$x^2{y}^{\prime }=x^2{y}^2+a{x}^{2m}{(b{x}^m+c)}^n-\frac{n^2}{4}+\frac{1}{4}$$

$$(c_2{x}^2+b_{2}x+a_2)(y^{\prime }+\lambda y^2)+a_0=0$$

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

$$a{x}^2{(x-1)}^2(y^{\prime }+\lambda y^2)+b{x}^2+cx+s=0$$

$${(a{x}^2+bx+c)}^2(y^{\prime }+y^2)+A=0$$

$$x^{n+1}{y}^{\prime }=a{x}^{2n}{y}^2+c{x}^m+d$$

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

$$(a{x}^n+b{x}^m+c)(y^{\prime }-y^2)+an(n-1)x^{n-2}+bm(m-1)x^{m-2}=0$$

$$y^{\prime }=a{y}^2+by+cx+k$$

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

$$y^{\prime }=y^2+a{x}^{n}y+b{x}^{n-1}$$

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

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

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

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

$$y^{\prime }=a{x}^n{y}^2-a{x}^n(b{x}^m+c)y+bm{x}^{m-1}$$

$$y^{\prime }=-an{x}^{n-1}{y}^2+c{x}^m(a{x}^n+b)y-c{x}^m$$

$$y^{\prime }=a{x}^n{y}^2+b{x}^{m}y+ck{x}^{k-1}-bc{x}^{m+k}-a{c}^2{x}^{n+2k}$$

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

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

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

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

$$x{y}^{\prime }+a_{3}x{y}^2+a_{2}y+a_{1}x+a_0=0$$

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

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

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

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

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

$$x{y}^{\prime }=a{x}^{2n+m}{y}^2+(b{x}^{m+n}-n)y+c{x}^m$$

$$(a_{2}x+b_2)(y^{\prime }+\lambda y^2)+(a_{1}x+b_1)y+a_{0}x+b_0=0$$

$$(ax+c)y^{\prime }=\alpha {(bx+ay)}^2+\beta (bx+ay)-bx+\gamma$$

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

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

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

$$x^2{y}^{\prime }=c{x}^2{y}^2+(a{x}^2+bx)y+\alpha x^2+\beta x+\gamma$$

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

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

$$x^2{y}^{\prime }=c{x}^2{y}^2+(a{x}^n+b)xy+\alpha x^{2n}+\beta x^n+\gamma$$

$$x^2{y}^{\prime }=(\alpha x^{2n}+\beta x^n+\gamma )y^2+(a{x}^n+b)xy+c{x}^2$$

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

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

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

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

$$(a{x}^2+bx+c)y^{\prime }=y^2+(2\lambda x+b)y+\lambda (\lambda -a)x^2+\mu$$

$$(a{x}^2+bx+c)y^{\prime }=y^2+(ax+\mu )y-{\lambda }^2{x}^2+\lambda (b-\mu )x+c\lambda$$

$$(a_2{x}^2+b_{2}x+c_2)y^{\prime }=y^2+(a_{1}x+b_1)y-\lambda (\lambda +a_1-a_2)x^2+\lambda (b_2-b_1)x+\lambda c_2$$

$$(a_2{x}^2+b_{2}x+c_2)y^{\prime }=y^2+(a_{1}x+b_1)y+a_0{x}^2+b_{0}x+c_0$$

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

$$(c_2{x}^2+b_{2}x+a_2)(y^{\prime }+\lambda y^2)+(b_{1}x+a_1)y+a_0=0$$

$$x^3{y}^{\prime }=a{x}^3{y}^2+(b{x}^2+c)y+sx$$

$$x^3{y}^{\prime }=a{x}^3{y}^2+x(bx+c)y+\alpha x+\beta$$

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

$$x^2(x+a)(y^{\prime }+\lambda y^2)+x(bx+c)y+\alpha x+\beta =0$$

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

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

$$a(x^2-1)(y^{\prime }+\lambda y^2)+bx(x^2-1)y+c{x}^2+dx+s=0$$

$$x^{n+1}{y}^{\prime }=a{x}^{2n}{y}^2+b{x}^{n}y+c{x}^m+d$$

$$x(a{x}^k+b)y^{\prime }=\alpha x^n{y}^2+(\beta -an{x}^k)y+\gamma x^{-n}$$

$$x^2(a{x}^n-1)(y^{\prime }+\lambda y^2)+(p{x}^n+q)xy+r{x}^n+s=0$$

$$(a{x}^n+b{x}^m+c)y^{\prime }=c{y}^2-b{x}^{m-1}y+a{x}^{n-2}$$

$$(a{x}^n+b{x}^m+c)y^{\prime }=a{x}^{n-2}{y}^2+b{x}^{m-1}y+c$$

$$(a{x}^n+b{x}^m+c)y^{\prime }=\alpha x^k{y}^2+\beta x^{s}y-\alpha {\lambda }^2{x}^k+\beta \lambda x^s$$

$$(a{x}^n+b{x}^m+c)(-y+x{y}^{\prime })+s{x}^k(y^2-\lambda x^2)=0$$

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

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

$$y^{\prime }=\sigma y^2+a+b{\mathrm{e}}^{\lambda x}+c{\mathrm{e}}^{2\lambda x}$$

$$y^{\prime }=\sigma y^2+ay+b{\mathrm{e}}^x+c$$

$$y^{\prime }=y^2+by+a(\lambda -b){\mathrm{e}}^{\lambda x}-a^2{\mathrm{e}}^{2\lambda x}$$

$$y^{\prime }=y^2+a{\mathrm{e}}^{\lambda x}y-ab{\mathrm{e}}^{\lambda x}-b^2$$

$$y^{\prime }=y^2+a{\mathrm{e}}^{2\lambda x}{({\mathrm{e}}^{\lambda x}+b)}^n-\frac{{\lambda }^2}{4}$$

$$y^{\prime }=y^2+a{\mathrm{e}}^{8\lambda x}+b{\mathrm{e}}^{6\lambda x}+c{\mathrm{e}}^{4\lambda x}-{\lambda }^2$$

$$y^{\prime }=a{\mathrm{e}}^{kx}{y}^2+b{\mathrm{e}}^{sx}$$

$$y^{\prime }=b{\mathrm{e}}^{\mu x}{y}^2+a\lambda {\mathrm{e}}^{\lambda x}-a^{2}b{\mathrm{e}}^{(\mu +2\lambda )x}$$

$$y^{\prime }=a{\mathrm{e}}^{\lambda x}{y}^2+by+c{\mathrm{e}}^{-\lambda x}$$

$$y^{\prime }=a{\mathrm{e}}^{\mu x}{y}^2+\lambda y-a{b}^2{\mathrm{e}}^{(\mu +2\lambda )x}$$

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

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

$$y^{\prime }=a{\mathrm{e}}^{\mu x}{y}^2+ab{\mathrm{e}}^{x(\lambda +\mu )}y-b\lambda {\mathrm{e}}^{\lambda x}$$

$$y^{\prime }=a{\mathrm{e}}^{kx}{y}^2+by+c{\mathrm{e}}^{sx}+d{\mathrm{e}}^{-kx}$$

$$y^{\prime }=a{\mathrm{e}}^{(\mu +2\lambda )x}{y}^2+(b{\mathrm{e}}^{x(\lambda +\mu )}-\lambda )y+c{\mathrm{e}}^{\mu x}$$

$$y^{\prime }=a{\mathrm{e}}^{kx}{y}^2+by+c{\mathrm{e}}^{knx}+d{\mathrm{e}}^{k(2n+1)x}$$

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

$$({\mathrm{e}}^{\lambda x}a+b{\mathrm{e}}^{\mu x}+c)y^{\prime }=y^2+k{\mathrm{e}}^{\nu x}y-m^2+km{\mathrm{e}}^{\nu x}$$

$$({\mathrm{e}}^{\lambda x}a+b{\mathrm{e}}^{\mu x}+c)(y^{\prime }-y^2)+a{\lambda }^2{\mathrm{e}}^{\lambda x}+b{\mu }^2{\mathrm{e}}^{\mu x}=0$$

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

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

$$y^{\prime }=a{\mathrm{e}}^{\lambda x}{y}^2+bn{x}^{n-1}-a{b}^2{\mathrm{e}}^{\lambda x}{x}^{2n}$$

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

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

$$y^{\prime }=a{\mathrm{e}}^{\lambda x}{y}^2-ab{x}^n{\mathrm{e}}^{\lambda x}y+bn{x}^{n-1}$$

$$y^{\prime }=a{x}^n{y}^2+b\lambda {\mathrm{e}}^{\lambda x}-a{b}^2{x}^n{\mathrm{e}}^{2\lambda x}$$

$$y^{\prime }=a{x}^n{y}^2+\lambda y-a{b}^2{x}^n{\mathrm{e}}^{2\lambda x}$$

$$y^{\prime }=a{x}^n{y}^2-ab{x}^n{\mathrm{e}}^{\lambda x}y+b\lambda {\mathrm{e}}^{\lambda x}$$

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

$$y^{\prime }=a{x}^n{y}^2-a{x}^n(b{\mathrm{e}}^{\lambda x}+c)y+c{x}^n$$

$$y^{\prime }=a{x}^n{\mathrm{e}}^{2\lambda x}{y}^2+(b{x}^n{\mathrm{e}}^{\lambda x}-\lambda )y+c{x}^n$$

$$y^{\prime }=a{\mathrm{e}}^{\lambda x}{(y-b{x}^n-c)}^2+bn{x}^{n-1}$$

$$x{y}^{\prime }=a{\mathrm{e}}^{\lambda x}{y}^2+ky+a{b}^2{x}^{2k}{\mathrm{e}}^{\lambda x}$$